CINXE.COM

<!doctype html> <html class="client-nojs mf-expand-sections-clientpref-0 mf-font-size-clientpref-small mw-mf-amc-clientpref-0" lang="gsw" dir="ltr"> <head> <base href="https://als.m.wikipedia.org/wiki/Fl%C3%A4che_(Topologie)"> <meta charset="UTF-8"> <title>Flechi - Alemannische Wikipedia</title> <script>(function(){var className="client-js mf-expand-sections-clientpref-0 mf-font-size-clientpref-small mw-mf-amc-clientpref-0";var cookie=document.cookie.match(/(?:^|; )alswikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[",\t.",".\t,"],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy","wgMonthNames":["","Jänner","Februar","März","April","Mai","Juni","Juli","Augschte","Septämber","Oktober","Novämber","Dezämber"],"wgRequestId":"52fdad2b-e514-4c8b-a088-f354e8882960","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Fläche_(Topologie)","wgTitle":"Fläche (Topologie)","wgCurRevisionId":953307,"wgRevisionId":953307,"wgArticleId":31048,"wgIsArticle": true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgPageViewLanguage":"gsw","wgPageContentLanguage":"gsw","wgPageContentModel":"wikitext","wgRelevantPageName":"Fläche_(Topologie)","wgRelevantArticleId":31048,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"accuracy":{"levels":2}}},"wgStableRevisionId":953307,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"gsw","pageLanguageDir":"ltr","pageVariantFallbacks":"gsw"},"wgMFMode":"stable","wgMFAmc":false,"wgMFAmcOutreachActive":false,"wgMFAmcOutreachUserEligible":false,"wgMFLazyLoadImages":true,"wgMFEditNoticesFeatureConflict":false,"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgMFIsSupportedEditRequest":true, "wgMFScriptPath":"","wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":4000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":true,"wgEditSubmitButtonLabelPublish":true,"wgSectionTranslationMissingLanguages":[{"lang":"ace","autonym":"Acèh","dir":"ltr"},{"lang":"ady","autonym":"адыгабзэ","dir":"ltr"},{"lang":"alt","autonym":"алтай тил","dir":"ltr"},{"lang":"am","autonym":"አማርኛ","dir":"ltr"},{"lang":"ami","autonym":"Pangcah","dir":"ltr"},{"lang":"ang","autonym":"Ænglisc","dir":"ltr"},{"lang":"ann","autonym":"Obolo","dir":"ltr"},{"lang":"anp","autonym":"अंगिका","dir":"ltr"},{"lang":"ary","autonym":"الدارجة","dir":"rtl"},{"lang":"arz","autonym":"مصرى","dir":"rtl"},{"lang":"as","autonym":"অসমীয়া","dir":"ltr"},{"lang":"av","autonym":"авар","dir":"ltr"},{"lang":"avk","autonym":"Kotava","dir":"ltr"},{"lang":"awa","autonym":"अवधी","dir":"ltr"},{"lang":"ay","autonym":"Aymar aru","dir":"ltr"},{"lang": "azb","autonym":"تۆرکجه","dir":"rtl"},{"lang":"ba","autonym":"башҡортса","dir":"ltr"},{"lang":"ban","autonym":"Basa Bali","dir":"ltr"},{"lang":"bar","autonym":"Boarisch","dir":"ltr"},{"lang":"bbc","autonym":"Batak Toba","dir":"ltr"},{"lang":"bcl","autonym":"Bikol Central","dir":"ltr"},{"lang":"bdr","autonym":"Bajau Sama","dir":"ltr"},{"lang":"bew","autonym":"Betawi","dir":"ltr"},{"lang":"bho","autonym":"भोजपुरी","dir":"ltr"},{"lang":"bi","autonym":"Bislama","dir":"ltr"},{"lang":"bjn","autonym":"Banjar","dir":"ltr"},{"lang":"blk","autonym":"ပအိုဝ်ႏဘာႏသာႏ","dir":"ltr"},{"lang":"bm","autonym":"bamanankan","dir":"ltr"},{"lang":"bo","autonym":"བོད་ཡིག","dir":"ltr"},{"lang":"bpy","autonym":"বিষ্ণুপ্রিয়া মণিপুরী","dir":"ltr"},{"lang":"br","autonym":"brezhoneg","dir":"ltr"},{"lang":"btm","autonym":"Batak Mandailing","dir":"ltr"},{"lang":"bug","autonym":"Basa Ugi","dir":"ltr"},{"lang": "cdo","autonym":"閩東語 / Mìng-dĕ̤ng-ngṳ̄","dir":"ltr"},{"lang":"ce","autonym":"нохчийн","dir":"ltr"},{"lang":"ceb","autonym":"Cebuano","dir":"ltr"},{"lang":"ch","autonym":"Chamoru","dir":"ltr"},{"lang":"chr","autonym":"ᏣᎳᎩ","dir":"ltr"},{"lang":"co","autonym":"corsu","dir":"ltr"},{"lang":"cr","autonym":"Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ","dir":"ltr"},{"lang":"crh","autonym":"qırımtatarca","dir":"ltr"},{"lang":"cu","autonym":"словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ","dir":"ltr"},{"lang":"cy","autonym":"Cymraeg","dir":"ltr"},{"lang":"da","autonym":"dansk","dir":"ltr"},{"lang":"dag","autonym":"dagbanli","dir":"ltr"},{"lang":"de","autonym":"Deutsch","dir":"ltr"},{"lang":"dga","autonym":"Dagaare","dir":"ltr"},{"lang":"din","autonym":"Thuɔŋjäŋ","dir":"ltr"},{"lang":"diq","autonym":"Zazaki","dir":"ltr"},{"lang":"dsb","autonym":"dolnoserbski","dir":"ltr"},{"lang":"dtp","autonym":"Kadazandusun","dir":"ltr"},{"lang":"dv","autonym": "ދިވެހިބަސް","dir":"rtl"},{"lang":"dz","autonym":"ཇོང་ཁ","dir":"ltr"},{"lang":"ee","autonym":"eʋegbe","dir":"ltr"},{"lang":"el","autonym":"Ελληνικά","dir":"ltr"},{"lang":"eml","autonym":"emiliàn e rumagnòl","dir":"ltr"},{"lang":"fat","autonym":"mfantse","dir":"ltr"},{"lang":"ff","autonym":"Fulfulde","dir":"ltr"},{"lang":"fj","autonym":"Na Vosa Vakaviti","dir":"ltr"},{"lang":"fo","autonym":"føroyskt","dir":"ltr"},{"lang":"fon","autonym":"fɔ̀ngbè","dir":"ltr"},{"lang":"frp","autonym":"arpetan","dir":"ltr"},{"lang":"frr","autonym":"Nordfriisk","dir":"ltr"},{"lang":"fy","autonym":"Frysk","dir":"ltr"},{"lang":"gag","autonym":"Gagauz","dir":"ltr"},{"lang":"gan","autonym":"贛語","dir":"ltr"},{"lang":"gcr","autonym":"kriyòl gwiyannen","dir":"ltr"},{"lang":"glk","autonym":"گیلکی","dir":"rtl"},{"lang":"gn","autonym":"Avañe'ẽ","dir":"ltr"},{"lang":"gom","autonym":"गोंयची कोंकणी / Gõychi Konknni","dir":"ltr"},{"lang":"gor", "autonym":"Bahasa Hulontalo","dir":"ltr"},{"lang":"gpe","autonym":"Ghanaian Pidgin","dir":"ltr"},{"lang":"gu","autonym":"ગુજરાતી","dir":"ltr"},{"lang":"guc","autonym":"wayuunaiki","dir":"ltr"},{"lang":"gur","autonym":"farefare","dir":"ltr"},{"lang":"guw","autonym":"gungbe","dir":"ltr"},{"lang":"gv","autonym":"Gaelg","dir":"ltr"},{"lang":"ha","autonym":"Hausa","dir":"ltr"},{"lang":"hak","autonym":"客家語 / Hak-kâ-ngî","dir":"ltr"},{"lang":"haw","autonym":"Hawaiʻi","dir":"ltr"},{"lang":"hif","autonym":"Fiji Hindi","dir":"ltr"},{"lang":"hsb","autonym":"hornjoserbsce","dir":"ltr"},{"lang":"ht","autonym":"Kreyòl ayisyen","dir":"ltr"},{"lang":"hyw","autonym":"Արեւմտահայերէն","dir":"ltr"},{"lang":"iba","autonym":"Jaku Iban","dir":"ltr"},{"lang":"ie","autonym":"Interlingue","dir":"ltr"},{"lang":"ig","autonym":"Igbo","dir":"ltr"},{"lang":"igl","autonym":"Igala","dir":"ltr"},{"lang":"ilo","autonym":"Ilokano","dir":"ltr"},{"lang":"iu","autonym": "ᐃᓄᒃᑎᑐᑦ / inuktitut","dir":"ltr"},{"lang":"jam","autonym":"Patois","dir":"ltr"},{"lang":"jv","autonym":"Jawa","dir":"ltr"},{"lang":"ka","autonym":"ქართული","dir":"ltr"},{"lang":"kaa","autonym":"Qaraqalpaqsha","dir":"ltr"},{"lang":"kab","autonym":"Taqbaylit","dir":"ltr"},{"lang":"kbd","autonym":"адыгэбзэ","dir":"ltr"},{"lang":"kbp","autonym":"Kabɩyɛ","dir":"ltr"},{"lang":"kcg","autonym":"Tyap","dir":"ltr"},{"lang":"kg","autonym":"Kongo","dir":"ltr"},{"lang":"kge","autonym":"Kumoring","dir":"ltr"},{"lang":"ki","autonym":"Gĩkũyũ","dir":"ltr"},{"lang":"kl","autonym":"kalaallisut","dir":"ltr"},{"lang":"km","autonym":"ភាសាខ្មែរ","dir":"ltr"},{"lang":"kn","autonym":"ಕನ್ನಡ","dir":"ltr"},{"lang":"koi","autonym":"перем коми","dir":"ltr"},{"lang":"krc","autonym":"къарачай-малкъар","dir":"ltr"},{"lang":"ks","autonym":"कॉशुर / کٲشُر","dir":"rtl"},{"lang":"ku","autonym":"kurdî","dir":"ltr"},{ "lang":"kus","autonym":"Kʋsaal","dir":"ltr"},{"lang":"kv","autonym":"коми","dir":"ltr"},{"lang":"kw","autonym":"kernowek","dir":"ltr"},{"lang":"lad","autonym":"Ladino","dir":"ltr"},{"lang":"lb","autonym":"Lëtzebuergesch","dir":"ltr"},{"lang":"lez","autonym":"лезги","dir":"ltr"},{"lang":"lg","autonym":"Luganda","dir":"ltr"},{"lang":"li","autonym":"Limburgs","dir":"ltr"},{"lang":"lld","autonym":"Ladin","dir":"ltr"},{"lang":"lmo","autonym":"lombard","dir":"ltr"},{"lang":"ln","autonym":"lingála","dir":"ltr"},{"lang":"lo","autonym":"ລາວ","dir":"ltr"},{"lang":"ltg","autonym":"latgaļu","dir":"ltr"},{"lang":"mad","autonym":"Madhurâ","dir":"ltr"},{"lang":"mai","autonym":"मैथिली","dir":"ltr"},{"lang":"map-bms","autonym":"Basa Banyumasan","dir":"ltr"},{"lang":"mdf","autonym":"мокшень","dir":"ltr"},{"lang":"mg","autonym":"Malagasy","dir":"ltr"},{"lang":"mhr","autonym":"олык марий","dir":"ltr"},{"lang":"mi","autonym":"Māori","dir":"ltr"},{"lang": "min","autonym":"Minangkabau","dir":"ltr"},{"lang":"mk","autonym":"македонски","dir":"ltr"},{"lang":"ml","autonym":"മലയാളം","dir":"ltr"},{"lang":"mn","autonym":"монгол","dir":"ltr"},{"lang":"mni","autonym":"ꯃꯤꯇꯩ ꯂꯣꯟ","dir":"ltr"},{"lang":"mnw","autonym":"ဘာသာမန်","dir":"ltr"},{"lang":"mos","autonym":"moore","dir":"ltr"},{"lang":"mrj","autonym":"кырык мары","dir":"ltr"},{"lang":"ms","autonym":"Bahasa Melayu","dir":"ltr"},{"lang":"mt","autonym":"Malti","dir":"ltr"},{"lang":"mwl","autonym":"Mirandés","dir":"ltr"},{"lang":"my","autonym":"မြန်မာဘာသာ","dir":"ltr"},{"lang":"myv","autonym":"эрзянь","dir":"ltr"},{"lang":"mzn","autonym":"مازِرونی","dir":"rtl"},{"lang":"nah","autonym":"Nāhuatl","dir":"ltr"},{"lang":"nan","autonym":"閩南語 / Bân-lâm-gú","dir":"ltr"},{"lang":"nap","autonym":"Napulitano","dir":"ltr"},{"lang":"nb","autonym":"norsk bokmål","dir":"ltr"},{"lang":"nds","autonym": "Plattdüütsch","dir":"ltr"},{"lang":"nds-nl","autonym":"Nedersaksies","dir":"ltr"},{"lang":"ne","autonym":"नेपाली","dir":"ltr"},{"lang":"new","autonym":"नेपाल भाषा","dir":"ltr"},{"lang":"nia","autonym":"Li Niha","dir":"ltr"},{"lang":"nqo","autonym":"ߒߞߏ","dir":"rtl"},{"lang":"nr","autonym":"isiNdebele seSewula","dir":"ltr"},{"lang":"nso","autonym":"Sesotho sa Leboa","dir":"ltr"},{"lang":"ny","autonym":"Chi-Chewa","dir":"ltr"},{"lang":"om","autonym":"Oromoo","dir":"ltr"},{"lang":"or","autonym":"ଓଡ଼ିଆ","dir":"ltr"},{"lang":"os","autonym":"ирон","dir":"ltr"},{"lang":"pa","autonym":"ਪੰਜਾਬੀ","dir":"ltr"},{"lang":"pag","autonym":"Pangasinan","dir":"ltr"},{"lang":"pam","autonym":"Kapampangan","dir":"ltr"},{"lang":"pap","autonym":"Papiamentu","dir":"ltr"},{"lang":"pcd","autonym":"Picard","dir":"ltr"},{"lang":"pcm","autonym":"Naijá","dir":"ltr"},{"lang":"pdc","autonym":"Deitsch","dir":"ltr"},{"lang":"pnb","autonym":"پنجابی", "dir":"rtl"},{"lang":"ps","autonym":"پښتو","dir":"rtl"},{"lang":"pwn","autonym":"pinayuanan","dir":"ltr"},{"lang":"qu","autonym":"Runa Simi","dir":"ltr"},{"lang":"rm","autonym":"rumantsch","dir":"ltr"},{"lang":"rn","autonym":"ikirundi","dir":"ltr"},{"lang":"rue","autonym":"русиньскый","dir":"ltr"},{"lang":"rup","autonym":"armãneashti","dir":"ltr"},{"lang":"rw","autonym":"Ikinyarwanda","dir":"ltr"},{"lang":"sa","autonym":"संस्कृतम्","dir":"ltr"},{"lang":"sah","autonym":"саха тыла","dir":"ltr"},{"lang":"sat","autonym":"ᱥᱟᱱᱛᱟᱲᱤ","dir":"ltr"},{"lang":"sc","autonym":"sardu","dir":"ltr"},{"lang":"scn","autonym":"sicilianu","dir":"ltr"},{"lang":"sco","autonym":"Scots","dir":"ltr"},{"lang":"sd","autonym":"سنڌي","dir":"rtl"},{"lang":"se","autonym":"davvisámegiella","dir":"ltr"},{"lang":"sg","autonym":"Sängö","dir":"ltr"},{"lang":"sgs","autonym":"žemaitėška","dir":"ltr"},{"lang":"shi","autonym":"Taclḥit","dir":"ltr"},{"lang": "shn","autonym":"ၽႃႇသႃႇတႆး ","dir":"ltr"},{"lang":"si","autonym":"සිංහල","dir":"ltr"},{"lang":"skr","autonym":"سرائیکی","dir":"rtl"},{"lang":"sm","autonym":"Gagana Samoa","dir":"ltr"},{"lang":"smn","autonym":"anarâškielâ","dir":"ltr"},{"lang":"sq","autonym":"shqip","dir":"ltr"},{"lang":"srn","autonym":"Sranantongo","dir":"ltr"},{"lang":"ss","autonym":"SiSwati","dir":"ltr"},{"lang":"st","autonym":"Sesotho","dir":"ltr"},{"lang":"stq","autonym":"Seeltersk","dir":"ltr"},{"lang":"su","autonym":"Sunda","dir":"ltr"},{"lang":"sw","autonym":"Kiswahili","dir":"ltr"},{"lang":"szl","autonym":"ślůnski","dir":"ltr"},{"lang":"ta","autonym":"தமிழ்","dir":"ltr"},{"lang":"tay","autonym":"Tayal","dir":"ltr"},{"lang":"tcy","autonym":"ತುಳು","dir":"ltr"},{"lang":"tdd","autonym":"ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ","dir":"ltr"},{"lang":"tet","autonym":"tetun","dir":"ltr"},{"lang":"tg","autonym":"тоҷикӣ","dir":"ltr"},{"lang":"th","autonym": "ไทย","dir":"ltr"},{"lang":"ti","autonym":"ትግርኛ","dir":"ltr"},{"lang":"tk","autonym":"Türkmençe","dir":"ltr"},{"lang":"tl","autonym":"Tagalog","dir":"ltr"},{"lang":"tly","autonym":"tolışi","dir":"ltr"},{"lang":"tn","autonym":"Setswana","dir":"ltr"},{"lang":"to","autonym":"lea faka-Tonga","dir":"ltr"},{"lang":"tpi","autonym":"Tok Pisin","dir":"ltr"},{"lang":"trv","autonym":"Seediq","dir":"ltr"},{"lang":"ts","autonym":"Xitsonga","dir":"ltr"},{"lang":"tt","autonym":"татарча / tatarça","dir":"ltr"},{"lang":"tum","autonym":"chiTumbuka","dir":"ltr"},{"lang":"tw","autonym":"Twi","dir":"ltr"},{"lang":"ty","autonym":"reo tahiti","dir":"ltr"},{"lang":"tyv","autonym":"тыва дыл","dir":"ltr"},{"lang":"udm","autonym":"удмурт","dir":"ltr"},{"lang":"ve","autonym":"Tshivenda","dir":"ltr"},{"lang":"vep","autonym":"vepsän kel’","dir":"ltr"},{"lang":"vls","autonym":"West-Vlams","dir":"ltr"},{"lang":"vo","autonym":"Volapük","dir":"ltr"},{"lang":"vro","autonym": "võro","dir":"ltr"},{"lang":"wa","autonym":"walon","dir":"ltr"},{"lang":"war","autonym":"Winaray","dir":"ltr"},{"lang":"wo","autonym":"Wolof","dir":"ltr"},{"lang":"xal","autonym":"хальмг","dir":"ltr"},{"lang":"xh","autonym":"isiXhosa","dir":"ltr"},{"lang":"xmf","autonym":"მარგალური","dir":"ltr"},{"lang":"yi","autonym":"ייִדיש","dir":"rtl"},{"lang":"yo","autonym":"Yorùbá","dir":"ltr"},{"lang":"yue","autonym":"粵語","dir":"ltr"},{"lang":"za","autonym":"Vahcuengh","dir":"ltr"},{"lang":"zgh","autonym":"ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ","dir":"ltr"},{"lang":"zu","autonym":"isiZulu","dir":"ltr"}],"wgSectionTranslationTargetLanguages":["ace","ady","alt","am","ami","an","ang","ann","anp","ar","ary","arz","as","ast","av","avk","awa","ay","az","azb","ba","ban","bar","bbc","bcl","bdr","be","bew","bg","bho","bi","bjn","blk","bm","bn","bo","bpy","br","bs","btm","bug","ca","cdo","ce","ceb","ch","chr","ckb","co","cr","crh","cs","cu","cy","da","dag", "de","dga","din","diq","dsb","dtp","dv","dz","ee","el","eml","eo","es","et","eu","fa","fat","ff","fi","fj","fo","fon","fr","frp","frr","fur","fy","gag","gan","gcr","gl","glk","gn","gom","gor","gpe","gu","guc","gur","guw","gv","ha","hak","haw","he","hi","hif","hr","hsb","ht","hu","hy","hyw","ia","iba","ie","ig","igl","ilo","io","is","it","iu","ja","jam","jv","ka","kaa","kab","kbd","kbp","kcg","kg","kge","ki","kk","kl","km","kn","ko","koi","krc","ks","ku","kus","kv","kw","ky","lad","lb","lez","lg","li","lij","lld","lmo","ln","lo","lt","ltg","lv","mad","mai","map-bms","mdf","mg","mhr","mi","min","mk","ml","mn","mni","mnw","mos","mr","mrj","ms","mt","mwl","my","myv","mzn","nah","nan","nap","nb","nds","nds-nl","ne","new","nia","nl","nn","nqo","nr","nso","ny","oc","om","or","os","pa","pag","pam","pap","pcd","pcm","pdc","pl","pms","pnb","ps","pt","pwn","qu","rm","rn","ro","rsk","rue","rup","rw","sa","sah","sat","sc","scn","sco","sd","se","sg","sgs","sh","shi","shn","si","sk","skr","sl","sm", "smn","sn","so","sq","sr","srn","ss","st","stq","su","sv","sw","szl","ta","tay","tcy","tdd","te","tet","tg","th","ti","tk","tl","tly","tn","to","tpi","tr","trv","ts","tt","tum","tw","ty","tyv","udm","ur","uz","ve","vec","vep","vi","vls","vo","vro","wa","war","wo","wuu","xal","xh","xmf","yi","yo","yue","za","zgh","zh","zu"],"isLanguageSearcherCXEntrypointEnabled":true,"mintEntrypointLanguages":["ace","ast","azb","bcl","bjn","bh","crh","ff","fon","ig","is","ki","ks","lmo","min","sat","ss","tn","vec"],"wgWikibaseItemId":"Q484298","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgMinervaPermissions":{"watchable":true,"watch":false},"wgMinervaFeatures":{"beta":false,"donate":true,"mobileOptionsLink":true,"categories":false, "pageIssues":true,"talkAtTop":false,"historyInPageActions":false,"overflowSubmenu":false,"tabsOnSpecials":true,"personalMenu":false,"mainMenuExpanded":false,"echo":true,"nightMode":false},"wgMinervaDownloadNamespaces":[0],"wgSiteNoticeId":"2.0"};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.math.styles":"ready","skins.minerva.styles":"ready","skins.minerva.content.styles.images":"ready","mediawiki.hlist":"ready","skins.minerva.codex.styles":"ready","skins.minerva.icons":"ready","ext.flaggedRevs.basic":"ready","mediawiki.codex.messagebox.styles":"ready","ext.wikimediamessages.styles":"ready","mobile.init.styles":"ready","ext.relatedArticles.styles":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready","ext.dismissableSiteNotice.styles":"ready"};RLPAGEMODULES=["mediawiki.page.media","site","mediawiki.page.ready","skins.minerva.scripts", "ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.flaggedRevs.advanced","ext.gadget.editMenus","ext.gadget.WikiMiniAtlas","ext.gadget.CommonsDirekt","ext.urlShortener.toolbar","ext.centralauth.centralautologin","ext.popups","mobile.init","ext.echo.centralauth","ext.relatedArticles.readMore.bootstrap","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.cx.eventlogging.campaigns","ext.cx.entrypoints.mffrequentlanguages","ext.cx.entrypoints.languagesearcher.init","mw.externalguidance.init","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking","ext.dismissableSiteNotice"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=gsw&modules=ext.dismissableSiteNotice.styles%7Cext.flaggedRevs.basic%7Cext.math.styles%7Cext.relatedArticles.styles%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cmediawiki.codex.messagebox.styles%7Cmediawiki.hlist%7Cmobile.init.styles%7Cskins.minerva.codex.styles%7Cskins.minerva.content.styles.images%7Cskins.minerva.icons%2Cstyles%7Cwikibase.client.init&only=styles&skin=minerva"> <script async src="/w/load.php?lang=gsw&modules=startup&only=scripts&raw=1&skin=minerva"></script> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="theme-color" content="#eaecf0"> <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes, minimum-scale=0.25, maximum-scale=5.0"> <meta property="og:title" content="Flechi - Alemannische Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="manifest" href="/w/api.php?action=webapp-manifest"> <link rel="alternate" type="application/x-wiki" title="Syte bearbeite" href="/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (gsw)"> <link rel="EditURI" type="application/rsd+xml" href="//als.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://als.wikipedia.org/wiki/Fl%C3%A4che_(Topologie)"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.als"> <link rel="dns-prefetch" href="//meta.wikimedia.org"> <link rel="dns-prefetch" href="//login.wikimedia.org"> <meta http-equiv="X-Translated-By" content="Google"> <meta http-equiv="X-Translated-To" content="en"> <script type="text/javascript" src="https://www.gstatic.com/_/translate_http/_/js/k=translate_http.tr.en_GB.WgGHrg8C9fE.O/am=DgY/d=1/rs=AN8SPfpNfjzpGCAsUUJ5X-GCaxSfec_Eng/m=corsproxy" data-sourceurl="https://als.m.wikipedia.org/wiki/Fl%C3%A4che_(Topologie)"></script> <link href="https://fonts.googleapis.com/css2?family=Material+Symbols+Outlined:opsz,wght,FILL,GRAD@20..48,100..700,0..1,-50..200" rel="stylesheet"> <script type="text/javascript" src="https://www.gstatic.com/_/translate_http/_/js/k=translate_http.tr.en_GB.WgGHrg8C9fE.O/am=DgY/d=1/exm=corsproxy/ed=1/rs=AN8SPfpNfjzpGCAsUUJ5X-GCaxSfec_Eng/m=phishing_protection" data-phishing-protection-enabled="false" data-forms-warning-enabled="true" data-source-url="https://als.m.wikipedia.org/wiki/Fl%C3%A4che_(Topologie)"></script> <meta name="robots" content="none"> </head> <body class="mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Fläche_Topologie rootpage-Fläche_Topologie stable issues-group-B skin-minerva action-view skin--responsive mw-mf-amc-disabled mw-mf"> <script type="text/javascript" src="https://www.gstatic.com/_/translate_http/_/js/k=translate_http.tr.en_GB.WgGHrg8C9fE.O/am=DgY/d=1/exm=corsproxy,phishing_protection/ed=1/rs=AN8SPfpNfjzpGCAsUUJ5X-GCaxSfec_Eng/m=navigationui" data-environment="prod" data-proxy-url="https://als-m-wikipedia-org.translate.goog" data-proxy-full-url="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-source-url="https://als.m.wikipedia.org/wiki/Fl%C3%A4che_(Topologie)" data-source-language="auto" data-target-language="en" data-display-language="en-GB" data-detected-source-language="en" data-is-source-untranslated="false" data-source-untranslated-url="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://als.m.wikipedia.org/wiki/Fl%25C3%25A4che_(Topologie)&anno=2" data-client="tr"></script> <div id="mw-mf-viewport"> <div id="mw-mf-page-center"><a class="mw-mf-page-center__mask" href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#"></a> <header class="header-container header-chrome"> <div class="minerva-header"> <nav class="navigation-drawer toggle-list view-border-box"><input type="checkbox" id="main-menu-input" class="toggle-list__checkbox" role="button" aria-haspopup="true" aria-expanded="false" aria-labelledby="mw-mf-main-menu-button"> <label role="button" for="main-menu-input" id="mw-mf-main-menu-button" aria-hidden="true" data-event-name="ui.mainmenu" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet toggle-list__toggle"> <span class="minerva-icon minerva-icon--menu"></span> <span></span> </label> <div id="mw-mf-page-left" class="menu view-border-box"> <ul id="p-navigation" class="toggle-list__list"> <li class="toggle-list-item "><a class="toggle-list-item__anchor menu__item--home" href="https://als-m-wikipedia-org.translate.goog/wiki/Wikipedia:Houptsyte?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-mw="interface"> <span class="minerva-icon minerva-icon--home"></span> <span class="toggle-list-item__label">Start</span> </a></li> <li class="toggle-list-item "><a class="toggle-list-item__anchor menu__item--random" href="https://als-m-wikipedia-org.translate.goog/wiki/Spezial:Zuefelligi_Syte?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-mw="interface"> <span class="minerva-icon minerva-icon--die"></span> <span class="toggle-list-item__label">Zuefall</span> </a></li> <li class="toggle-list-item skin-minerva-list-item-jsonly"><a class="toggle-list-item__anchor menu__item--nearby" href="https://als-m-wikipedia-org.translate.goog/wiki/Spezial:In_der_N%C3%A4he?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.nearby" data-mw="interface"> <span class="minerva-icon minerva-icon--mapPin"></span> <span class="toggle-list-item__label">In de Nööchi</span> </a></li> </ul> <ul id="p-personal" class="toggle-list__list"> <li class="toggle-list-item "><a class="toggle-list-item__anchor menu__item--login" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Spezial:Am%C3%A4lde&returnto=Fl%C3%A4che+(Topologie)&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.login" data-mw="interface"> <span class="minerva-icon minerva-icon--logIn"></span> <span class="toggle-list-item__label">Aamälde</span> </a></li> </ul> <ul id="pt-preferences" class="toggle-list__list"> <li class="toggle-list-item skin-minerva-list-item-jsonly"><a class="toggle-list-item__anchor menu__item--settings" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Spezial:Mobile_Optionen&returnto=Fl%C3%A4che+(Topologie)&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.settings" data-mw="interface"> <span class="minerva-icon minerva-icon--settings"></span> <span class="toggle-list-item__label">Yystellige</span> </a></li> </ul> <ul id="p-donation" class="toggle-list__list"> <li class="toggle-list-item "><a class="toggle-list-item__anchor menu__item--donate" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source%3Ddonate%26utm_medium%3Dsidebar%26utm_campaign%3DC13_als.wikipedia.org%26uselang%3Dgsw%26utm_key%3Dminerva" data-event-name="menu.donate" data-mw="interface"> <span class="minerva-icon minerva-icon--heart"></span> <span class="toggle-list-item__label">Finanzielli Hilf</span> </a></li> </ul> <ul class="hlist"> <li class="toggle-list-item "><a class="toggle-list-item__anchor menu__item--about" href="https://als-m-wikipedia-org.translate.goog/wiki/Wikipedia:Iber_Wikipedia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-mw="interface"> <span class="toggle-list-item__label">Iber Wikipedia</span> </a></li> <li class="toggle-list-item "><a class="toggle-list-item__anchor menu__item--disclaimers" href="https://als-m-wikipedia-org.translate.goog/wiki/Wikipedia:Impressum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-mw="interface"> <span class="toggle-list-item__label">Impressum</span> </a></li> </ul> </div><label class="main-menu-mask" for="main-menu-input"></label> </nav> <div class="branding-box"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Wikipedia:Houptsyte?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <span><img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Alemannische Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"> </span> </a> </div> <form action="/w/index.php" method="get" class="minerva-search-form"> <div class="search-box"><input type="hidden" name="title" value="Spezial:Suech"> <input class="search skin-minerva-search-trigger" id="searchInput" type="search" name="search" placeholder="Suechi (uf Hochdütsch)" aria-label="Suechi (uf Hochdütsch)" autocapitalize="sentences" title="Dürchsuech Wikipedia [f]" accesskey="f"> <span class="search-box-icon-overlay"><span class="minerva-icon minerva-icon--search"></span> </span> </div><button id="searchIcon" class="cdx-button cdx-button--size-large cdx-button--icon-only cdx-button--weight-quiet skin-minerva-search-trigger"> <span class="minerva-icon minerva-icon--search"></span> <span>Suech</span> </button> </form> <nav class="minerva-user-navigation" aria-label="Weitere Navigation"> </nav> </div> </header> <main id="content" class="mw-body"> <div class="banner-container"> <div id="siteNotice"></div> </div> <div class="pre-content heading-holder"> <div class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading">Flechi</h1> <div class="tagline"></div> </div> <nav class="page-actions-menu"> <ul id="p-views" class="page-actions-menu__list"> <li id="language-selector" class="page-actions-menu__list-item"><a role="button" href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#p-lang" data-mw="interface" data-event-name="menu.languages" title="Sproch" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet language-selector"> <span class="minerva-icon minerva-icon--language"></span> <span>Sproch</span> </a></li> <li id="page-actions-watch" class="page-actions-menu__list-item"><a role="button" id="ca-watch" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Spezial:Am%C3%A4lde&returnto=Fl%C3%A4che+(Topologie)&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.watch" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet menu__item--page-actions-watch"> <span class="minerva-icon minerva-icon--star"></span> <span>beobachte</span> </a></li> <li id="page-actions-edit" class="page-actions-menu__list-item"><a role="button" id="ca-edit" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" data-event-name="menu.edit" data-mw="interface" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet edit-page menu__item--page-actions-edit"> <span class="minerva-icon minerva-icon--edit"></span> <span>Ändere</span> </a></li> </ul> </nav> <div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"> <script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script> <div class="mw-content-ltr mw-parser-output" lang="gsw" dir="ltr"> <section class="mf-section-0" id="mf-section-0"> <p>As <b>Flechi</b> bezeichnet mä in de <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Teilgebiete_der_Mathematik&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Teilgebiete der Mathematik (Syte nid vorhande)">mathematische Deilgebiet</a> vo dr Differentialgeometrii und dr Topologii e 2-dimensionali <a href="https://als-m-wikipedia-org.translate.goog/wiki/Mannigfaltigkeit?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mannigfaltigkeit">Mannigfaltigkeit</a>. Bischbil im 3-dimensionale Ruum si d Oberflechene vo <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=K%C3%B6rper_(Geometrie)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Körper (Geometrie) (Syte nid vorhande)">Vollkörper</a>.</p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"> <input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"> <div class="toctitle" lang="gsw" dir="ltr"> <h2 id="mw-toc-heading">Inhaltsverzeichnis</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span> </div> <ul> <li class="toclevel-1 tocsection-1"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Definition"><span class="tocnumber">1</span> <span class="toctext">Definition</span></a> <ul> <li class="toclevel-2 tocsection-2"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Flechene_in_dr_Topologii"><span class="tocnumber">1.1</span> <span class="toctext">Flechene in dr Topologii</span></a></li> <li class="toclevel-2 tocsection-3"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Flechene_in_dr_Differentialgeometrii"><span class="tocnumber">1.2</span> <span class="toctext">Flechene in dr Differentialgeometrii</span></a></li> </ul></li> <li class="toclevel-1 tocsection-4"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Mathematischi_Attribut_f%C3%BCr_Flechene_ohni_Rand"><span class="tocnumber">2</span> <span class="toctext">Mathematischi Attribut für Flechene ohni Rand</span></a></li> <li class="toclevel-1 tocsection-5"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Bischbil"><span class="tocnumber">3</span> <span class="toctext">Bischbil</span></a></li> <li class="toclevel-1 tocsection-6"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Litratur"><span class="tocnumber">4</span> <span class="toctext">Litratur</span></a></li> <li class="toclevel-1 tocsection-7"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Fl%C3%A4che_(Topologie)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB#Weblingg"><span class="tocnumber">5</span> <span class="toctext">Weblingg</span></a></li> </ul> </div> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Definition">Definition</h2><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Definition" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <section class="mf-section-1 collapsible-block" id="mf-section-1"> <figure class="mw-default-size" typeof="mw:File/Thumb"> <a href="https://als-m-wikipedia-org.translate.goog/wiki/Datei:Ripple_Surface.png?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="mw-file-description"> <noscript> <img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Ripple_Surface.png/220px-Ripple_Surface.png" decoding="async" width="220" height="145" class="mw-file-element" data-file-width="800" data-file-height="527"> </noscript><span class="lazy-image-placeholder" style="width: 220px;height: 145px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Ripple_Surface.png/220px-Ripple_Surface.png" data-width="220" data-height="145" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Ripple_Surface.png/330px-Ripple_Surface.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0e/Ripple_Surface.png/440px-Ripple_Surface.png 2x" data-class="mw-file-element"> </span></a> <figcaption> <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Bildsynthese&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Bildsynthese (Syte nid vorhande)">Bildsynthese</a> vo dr Funktion <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle z=\cos \left(x^{2}+y^{2}\right)}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi> z </mi> <mo> = </mo> <mi> cos </mi> <mo> ⁡ </mo> <mrow> <mo> ( </mo> <mrow> <msup> <mi> x </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mo> + </mo> <msup> <mi> y </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> ) </mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle z=\cos \left(x^{2}+y^{2}\right)} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a93ff621cb7a2b545544fb0622d2bcf3ea849a88" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:16.867ex; height:3.343ex;" alt="{\displaystyle z=\cos \left(x^{2}+y^{2}\right)}"> </noscript><span class="lazy-image-placeholder" style="width: 16.867ex;height: 3.343ex;vertical-align: -1.005ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a93ff621cb7a2b545544fb0622d2bcf3ea849a88" data-alt="{\displaystyle z=\cos \left(x^{2}+y^{2}\right)}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> </figcaption> </figure> <div class="mw-heading mw-heading3"> <h3 id="Flechene_in_dr_Topologii">Flechene in dr Topologii</h3><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=2&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Flechene in dr Topologii" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <p>In dr Topologii isch e Flechi e topologischi 2-dimensionali <a href="https://als-m-wikipedia-org.translate.goog/wiki/Mannigfaltigkeit?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Mannigfaltigkeit">Mannigfaltikeit</a>. Mä cha si eso definiere:</p> <dl> <dd> E Flechi isch e <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Hausdorffraum&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Hausdorffraum (Syte nid vorhande)">Huusdorfruum</a>, wo s zweite <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Abz%C3%A4hlbarkeitsaxiom&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Abzählbarkeitsaxiom (Syte nid vorhande)">Abzelbarkeitsaxiom</a> erfüllt und wo jede Punkt din en Umgäbig het, wo zur <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kreisscheibe&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kreisscheibe (Syte nid vorhande)">offnige Kreisschiibe</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle D^{\circ 2}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi> D </mi> <mrow class="MJX-TeXAtom-ORD"> <mo> ∘ </mo> <mn> 2 </mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle D^{\circ 2}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2d4b66a2b7e20dbc242d9105de267354bf0eb45" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.8ex; height:2.676ex;" alt="{\displaystyle D^{\circ 2}}"> </noscript><span class="lazy-image-placeholder" style="width: 3.8ex;height: 2.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2d4b66a2b7e20dbc242d9105de267354bf0eb45" data-alt="{\displaystyle D^{\circ 2}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> oder zur abgschlossnige Halbebeni <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lbrace (x_{1},x_{2})\in \mathbb {R} ^{2}\mid x_{1}\geq 0\rbrace }"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false"> { </mo> <mo stretchy="false"> ( </mo> <msub> <mi> x </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> <mo> , </mo> <msub> <mi> x </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msub> <mo stretchy="false"> ) </mo> <mo> ∈ </mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck"> R </mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> <mo> ∣ </mo> <msub> <mi> x </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 1 </mn> </mrow> </msub> <mo> ≥ </mo> <mn> 0 </mn> <mo fence="false" stretchy="false"> } </mo> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle \lbrace (x_{1},x_{2})\in \mathbb {R} ^{2}\mid x_{1}\geq 0\rbrace } </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/817a0bab5f110f59e1b998a8ef31546e239d7678" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.091ex; height:3.176ex;" alt="{\displaystyle \lbrace (x_{1},x_{2})\in \mathbb {R} ^{2}\mid x_{1}\geq 0\rbrace }"> </noscript><span class="lazy-image-placeholder" style="width: 24.091ex;height: 3.176ex;vertical-align: -0.838ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/817a0bab5f110f59e1b998a8ef31546e239d7678" data-alt="{\displaystyle \lbrace (x_{1},x_{2})\in \mathbb {R} ^{2}\mid x_{1}\geq 0\rbrace }" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Hom%C3%B6omorph&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Homöomorph (Syte nid vorhande)">homöomorph</a> isch. </dd> </dl> <p>En alternativi Definition, wo uf die Fallunterscheidig verzichtet isch:</p> <dl> <dd> E Flechi isch e Huusdorffruum, wo s zweite Abzählbarkeitsaxiom erfüllt und wo jede Punkt din en Umgäbig het, wo zur <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kreisscheibe&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kreisscheibe (Syte nid vorhande)">gschlossnige Kreisschiibe</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle D^{2}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi> D </mi> <mrow class="MJX-TeXAtom-ORD"> <mn> 2 </mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle D^{2}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a1e7d554748b105413b259fdfb8c9587acb9f1d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.979ex; height:2.676ex;" alt="{\displaystyle D^{2}}"> </noscript><span class="lazy-image-placeholder" style="width: 2.979ex;height: 2.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7a1e7d554748b105413b259fdfb8c9587acb9f1d" data-alt="{\displaystyle D^{2}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> homöomorph isch. </dd> </dl> <p>Die Pünkt, won e Umgäbig hai, wo zur offnige Kreisschiibe homöomorph si, bezeichnet mä as <i>inneri Pünkt</i> vo dr Flechi und die andere as <i>Randpünkt</i>. D Mängi vo de innere Pünkt bildet s <i>Innere</i> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F^{\circ }}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi> F </mi> <mrow class="MJX-TeXAtom-ORD"> <mo> ∘ </mo> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle F^{\circ }} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f82ab7d412ae306bbb5e76a9b804c6d5f62b79b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.869ex; height:2.343ex;" alt="{\displaystyle F^{\circ }}"> </noscript><span class="lazy-image-placeholder" style="width: 2.869ex;height: 2.343ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2f82ab7d412ae306bbb5e76a9b804c6d5f62b79b" data-alt="{\displaystyle F^{\circ }}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> vo dr Flechi, währed d Mängi vo de Randpünkt dr Rand <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \partial F}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal"> ∂ </mi> <mi> F </mi> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle \partial F} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/014dfffa1461a32be4e057eee19c864a3b7841c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.059ex; height:2.176ex;" alt="{\displaystyle \partial F}"> </noscript><span class="lazy-image-placeholder" style="width: 3.059ex;height: 2.176ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/014dfffa1461a32be4e057eee19c864a3b7841c7" data-alt="{\displaystyle \partial F}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> vo dr Flechi bildet.</p> <p>Wenn e Flechi keini Randpünkt het, so redet mä von ere <i>unberandete Flechi</i> oder <i>Flechi ohni Rand</i>. Sust sait mä dr Flechi <i>berandet</i> oder <i>Flechi mit Rand</i>.</p> <p>Für Flechene ohni Rand verchürzt sich d Definition oobe nooch:</p> <dl> <dd> E Flechi ohni Rand isch e Huusdorffruum, wo s zweite Abzelbarkeitsaxiom erfüllt und wo jede Punkt din en Umgäbig het, wo zur offene Kreisschiibe <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"> <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle D^{\circ 2}}"><semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi> D </mi> <mrow class="MJX-TeXAtom-ORD"> <mo> ∘ </mo> <mn> 2 </mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex"> {\displaystyle D^{\circ 2}} </annotation> </semantics> </math></span> <noscript> <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2d4b66a2b7e20dbc242d9105de267354bf0eb45" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.8ex; height:2.676ex;" alt="{\displaystyle D^{\circ 2}}"> </noscript><span class="lazy-image-placeholder" style="width: 3.8ex;height: 2.676ex;vertical-align: -0.338ex;" data-src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2d4b66a2b7e20dbc242d9105de267354bf0eb45" data-alt="{\displaystyle D^{\circ 2}}" data-class="mwe-math-fallback-image-inline mw-invert skin-invert"> </span></span> homöomorph isch. </dd> </dl> <div class="mw-heading mw-heading3"> <h3 id="Flechene_in_dr_Differentialgeometrii">Flechene in dr Differentialgeometrii</h3><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=3&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Flechene in dr Differentialgeometrii" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <p>In dr <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Differentialgeometrie&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Differentialgeometrie (Syte nid vorhande)">Differentialgeometrii</a> isch e Flechi e zwei-dimensionali differenzierbari Mannigfaltikeit. Die Objekt erfülle d Definition, wo do gee wird, und hai drzue non e differenzierbari Struktur. Dene Flechene sait mä <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Regul%C3%A4re_Fl%C3%A4che&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Reguläre Fläche (Syte nid vorhande)">reguläri Flechene</a>.</p> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Mathematischi_Attribut_für_Flechene_ohni_Rand"><span id="Mathematischi_Attribut_f.C3.BCr_Flechene_ohni_Rand"></span>Mathematischi Attribut für Flechene ohni Rand</h2><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=4&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Mathematischi Attribut für Flechene ohni Rand" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <section class="mf-section-2 collapsible-block" id="mf-section-2"> <p>E Flechi ohni Randpunkte isch</p> <ul> <li><i><a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Geschlossene_Mannigfaltigkeit&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Geschlossene Mannigfaltigkeit (Syte nid vorhande)">gschlosse</a></i>, wenn sie de Kriterie vom ene <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kompakter_Raum&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kompakter Raum (Syte nid vorhande)">kompakte Ruum</a> entspricht.</li> <li><i>offe</i> wenn sie die Kriterie nid erfüllt.</li> </ul> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Bischbil">Bischbil</h2><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=5&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Bischbil" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <section class="mf-section-3 collapsible-block" id="mf-section-3"> <ul> <li>Die bekannte Standardflechene in dr <a href="https://als-m-wikipedia-org.translate.goog/wiki/Ebene_(Mathematik)?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Ebene (Mathematik)">Ebeni</a>, wie d Flechene vom <a href="https://als-m-wikipedia-org.translate.goog/wiki/Dreieck?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Dreieck">Dreiegg</a>, vo dr <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kreisscheibe&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kreisscheibe (Syte nid vorhande)">Kreisschiibe</a>, vo dr <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Halbebene&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Halbebene (Syte nid vorhande)">Halbebeni</a>, si mit oder ohni Rand im Sinn vo dr Definition oobe nooch je nochdäm, öb mä d Randlinie drzuezelt oder nid.</li> <li>Oberflechene vo Vollkörper, wie <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Polyeder&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Polyeder (Syte nid vorhande)">Polyeder</a>, <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kugel&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kugel (Syte nid vorhande)">Chugele</a>, <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Zylinder_(Geometrie)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Zylinder (Geometrie) (Syte nid vorhande)">Zylinder</a>, <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kegel_(Geometrie)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kegel (Geometrie) (Syte nid vorhande)">Cheigel</a>, und geeigneti Deil von ene, wie nume dr Mantel vom ene Zylinder.</li> <li>S <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=M%C3%B6biusband&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Möbiusband (Syte nid vorhande)">Möbiusband</a> isch e Flechi, wo <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Orientierung_(Mathematik)&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Orientierung (Mathematik) (Syte nid vorhande)">nid orientiert</a> isch.</li> <li>Die <a href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Kleinsche_Flasche&action=edit&redlink=1&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="new" title="Kleinsche Flasche (Syte nid vorhande)">Kleinschi Fläsche</a> isch e gschlossnigi Flechi, aber kei Oberflechi vom ene Vollkörper und loot sich nid emol in dr dreidimensional Ruum iibette.</li> </ul> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(4)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Litratur">Litratur</h2><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=6&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Litratur" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <section class="mf-section-4 collapsible-block" id="mf-section-4"> <ul> <li>Ralph Stöcker, Heiner Zieschang: <i>Algebraische Topologie.</i> Teubner, Stuttgart 1988, <a href="https://als-m-wikipedia-org.translate.goog/wiki/Spezial:ISBN-Suech/3519022265?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="internal mw-magiclink-isbn">ISBN 3-519-02226-5</a></li> <li>William S. Massey: <i>Algebraic Topology: An Introduction.</i> 1. Auflage. Springer, Berlin 1967, <a href="https://als-m-wikipedia-org.translate.goog/wiki/Spezial:ISBN-Suech/3540902716?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" class="internal mw-magiclink-isbn">ISBN 3-540-90271-6</a></li> </ul> </section> <div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(5)"> <span class="indicator mf-icon mf-icon-expand mf-icon--small"></span> <h2 id="Weblingg">Weblingg</h2><span class="mw-editsection"> <a role="button" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=edit&section=7&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB" title="Abschnitt ändere: Weblingg" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>ändere</span> </a> </span> </div> <section class="mf-section-5 collapsible-block" id="mf-section-5"> <div class="sisterproject" style="margin:0.1em 0 0 0;"> <span class="mw-default-size" typeof="mw:File"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://commons.wikimedia.org/wiki/Houptsyte" title="Commons"> <noscript> <img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" data-file-width="1024" data-file-height="1376"> </noscript><span class="lazy-image-placeholder" style="width: 12px;height: 16px;" data-src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" data-alt="" data-width="12" data-height="16" data-srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-class="mw-file-element"> </span></a></span> <b><span class="plainlinks"><a class="external text" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://commons.wikimedia.org/wiki/Category:Surfaces?uselang%3Dals">Commons: Fläche</a></span></b> – Sammlig vo Multimediadateie </div> </section> </div> <noscript> <img src="https://login.m.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&mobile=1" alt="" width="1" height="1" style="border: none; position: absolute;"> </noscript> <div class="printfooter" data-nosnippet=""> Vun "<a dir="ltr" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://als.wikipedia.org/w/index.php?title%3DFl%C3%A4che_(Topologie)%26oldid%3D953307">https://als.wikipedia.org/w/index.php?title=Fläche_(Topologie)&oldid=953307</a>" </div> </div> </div> <div class="post-content" id="page-secondary-actions"> </div> </main> <footer class="mw-footer minerva-footer" role="contentinfo"><a class="last-modified-bar" href="https://als-m-wikipedia-org.translate.goog/w/index.php?title=Fl%C3%A4che_(Topologie)&action=history&_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB"> <div class="post-content last-modified-bar__content"><span class="minerva-icon minerva-icon-size-medium minerva-icon--modified-history"></span> <span class="last-modified-bar__text modified-enhancement" data-user-name="Holder" data-user-gender="male" data-timestamp="1579934700"> <span>Zuletzt bearbeitet am 25. Jänner 2020 um 07:45</span> </span> <span class="minerva-icon minerva-icon-size-small minerva-icon--expand"></span> </div></a> <div class="post-content footer-content"> <div id="mw-data-after-content"> <div class="read-more-container"></div> </div> <div id="p-lang"> <h4>Sprachen</h4> <section> <ul id="p-variants" class="minerva-languages"></ul> <ul class="minerva-languages"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://af.wikipedia.org/wiki/Oppervlak" title="Oppervlak – Afrikaans" lang="af" hreflang="af" data-title="Oppervlak" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li> <li class="interlanguage-link interwiki-an mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://an.wikipedia.org/wiki/Superficie" title="Superficie – Aragonesisch" lang="an" hreflang="an" data-title="Superficie" data-language-autonym="Aragonés" data-language-local-name="Aragonesisch" class="interlanguage-link-target"><span>Aragonés</span></a></li> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ar.wikipedia.org/wiki/%25D8%25B3%25D8%25B7%25D8%25AD" title="سطح – Arabisch" lang="ar" hreflang="ar" data-title="سطح" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li> <li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ast.wikipedia.org/wiki/Superficie" title="Superficie – Aschturianisch" lang="ast" hreflang="ast" data-title="Superficie" data-language-autonym="Asturianu" data-language-local-name="Aschturianisch" class="interlanguage-link-target"><span>Asturianu</span></a></li> <li class="interlanguage-link interwiki-az mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://az.wikipedia.org/wiki/S%25C9%2599th" title="Səth – Aserbaidschanisch" lang="az" hreflang="az" data-title="Səth" data-language-autonym="Azərbaycanca" data-language-local-name="Aserbaidschanisch" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li> <li class="interlanguage-link interwiki-be mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://be.wikipedia.org/wiki/%25D0%259F%25D0%25B0%25D0%25B2%25D0%25B5%25D1%2580%25D1%2585%25D0%25BD%25D1%258F" title="Паверхня – Wiissrussisch" lang="be" hreflang="be" data-title="Паверхня" data-language-autonym="Беларуская" data-language-local-name="Wiissrussisch" class="interlanguage-link-target"><span>Беларуская</span></a></li> <li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bg.wikipedia.org/wiki/%25D0%259F%25D0%25BE%25D0%25B2%25D1%258A%25D1%2580%25D1%2585%25D0%25BD%25D0%25BE%25D1%2581%25D1%2582" title="Повърхност – Bulgaarisch" lang="bg" hreflang="bg" data-title="Повърхност" data-language-autonym="Български" data-language-local-name="Bulgaarisch" class="interlanguage-link-target"><span>Български</span></a></li> <li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bn.wikipedia.org/wiki/%25E0%25A6%25A4%25E0%25A6%25B2_(%25E0%25A6%259F%25E0%25A6%25AA%25E0%25A7%258B%25E0%25A6%25B2%25E0%25A6%259C%25E0%25A6%25BF)" title="তল (টপোলজি) – Bengalisch" lang="bn" hreflang="bn" data-title="তল (টপোলজি)" data-language-autonym="বাংলা" data-language-local-name="Bengalisch" class="interlanguage-link-target"><span>বাংলা</span></a></li> <li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://bs.wikipedia.org/wiki/Povr%25C5%25A1" title="Površ – Bosnisch" lang="bs" hreflang="bs" data-title="Površ" data-language-autonym="Bosanski" data-language-local-name="Bosnisch" class="interlanguage-link-target"><span>Bosanski</span></a></li> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ca.wikipedia.org/wiki/Superf%25C3%25ADcie_(matem%25C3%25A0tiques)" title="Superfície (matemàtiques) – Katalaanisch" lang="ca" hreflang="ca" data-title="Superfície (matemàtiques)" data-language-autonym="Català" data-language-local-name="Katalaanisch" class="interlanguage-link-target"><span>Català</span></a></li> <li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ckb.wikipedia.org/wiki/%25DA%2595%25D9%2588%25D9%2588" title="ڕوو – Zentralkurdisch" lang="ckb" hreflang="ckb" data-title="ڕوو" data-language-autonym="کوردی" data-language-local-name="Zentralkurdisch" class="interlanguage-link-target"><span>کوردی</span></a></li> <li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cs.wikipedia.org/wiki/Plocha" title="Plocha – Tschechisch" lang="cs" hreflang="cs" data-title="Plocha" data-language-autonym="Čeština" data-language-local-name="Tschechisch" class="interlanguage-link-target"><span>Čeština</span></a></li> <li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://cv.wikipedia.org/wiki/%25C3%2587%25D0%25B8%25D0%25B9" title="Çий – Tschuwaschisch" lang="cv" hreflang="cv" data-title="Çий" data-language-autonym="Чӑвашла" data-language-local-name="Tschuwaschisch" class="interlanguage-link-target"><span>Чӑвашла</span></a></li> <li class="interlanguage-link interwiki-en mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://en.wikipedia.org/wiki/Surface_(topology)" title="Surface (topology) – Änglisch" lang="en" hreflang="en" data-title="Surface (topology)" data-language-autonym="English" data-language-local-name="Änglisch" class="interlanguage-link-target"><span>English</span></a></li> <li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eo.wikipedia.org/wiki/Surfaco" title="Surfaco – Eschperanto" lang="eo" hreflang="eo" data-title="Surfaco" data-language-autonym="Esperanto" data-language-local-name="Eschperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li> <li class="interlanguage-link interwiki-es mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://es.wikipedia.org/wiki/Superficie_(topolog%25C3%25ADa)" title="Superficie (topología) – Schpanisch" lang="es" hreflang="es" data-title="Superficie (topología)" data-language-autonym="Español" data-language-local-name="Schpanisch" class="interlanguage-link-target"><span>Español</span></a></li> <li class="interlanguage-link interwiki-et mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://et.wikipedia.org/wiki/Pind" title="Pind – Eestnisch" lang="et" hreflang="et" data-title="Pind" data-language-autonym="Eesti" data-language-local-name="Eestnisch" class="interlanguage-link-target"><span>Eesti</span></a></li> <li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://eu.wikipedia.org/wiki/Gainazal" title="Gainazal – Baskisch" lang="eu" hreflang="eu" data-title="Gainazal" data-language-autonym="Euskara" data-language-local-name="Baskisch" class="interlanguage-link-target"><span>Euskara</span></a></li> <li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fa.wikipedia.org/wiki/%25D8%25B1%25D9%2588%25DB%258C%25D9%2587_(%25D8%25AA%25D9%2588%25D9%25BE%25D9%2588%25D9%2584%25D9%2588%25DA%2598%25DB%258C)" title="رویه (توپولوژی) – Persisch" lang="fa" hreflang="fa" data-title="رویه (توپولوژی)" data-language-autonym="فارسی" data-language-local-name="Persisch" class="interlanguage-link-target"><span>فارسی</span></a></li> <li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fi.wikipedia.org/wiki/Pinta_(geometria)" title="Pinta (geometria) – Finnisch" lang="fi" hreflang="fi" data-title="Pinta (geometria)" data-language-autonym="Suomi" data-language-local-name="Finnisch" class="interlanguage-link-target"><span>Suomi</span></a></li> <li class="interlanguage-link interwiki-fr badge-Q70893996 mw-list-item" title=""><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fr.wikipedia.org/wiki/Surface_(g%25C3%25A9om%25C3%25A9trie)" title="Surface (géométrie) – Französisch" lang="fr" hreflang="fr" data-title="Surface (géométrie)" data-language-autonym="Français" data-language-local-name="Französisch" class="interlanguage-link-target"><span>Français</span></a></li> <li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://fur.wikipedia.org/wiki/Superficie" title="Superficie – Friulisch" lang="fur" hreflang="fur" data-title="Superficie" data-language-autonym="Furlan" data-language-local-name="Friulisch" class="interlanguage-link-target"><span>Furlan</span></a></li> <li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ga.wikipedia.org/wiki/Dromchla_(toipeola%25C3%25ADocht)" title="Dromchla (toipeolaíocht) – Iirisch" lang="ga" hreflang="ga" data-title="Dromchla (toipeolaíocht)" data-language-autonym="Gaeilge" data-language-local-name="Iirisch" class="interlanguage-link-target"><span>Gaeilge</span></a></li> <li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://gl.wikipedia.org/wiki/Superficie" title="Superficie – Galizisch" lang="gl" hreflang="gl" data-title="Superficie" data-language-autonym="Galego" data-language-local-name="Galizisch" class="interlanguage-link-target"><span>Galego</span></a></li> <li class="interlanguage-link interwiki-he mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://he.wikipedia.org/wiki/%25D7%259E%25D7%25A9%25D7%2598%25D7%2597_(%25D7%2598%25D7%2595%25D7%25A4%25D7%2595%25D7%259C%25D7%2595%25D7%2592%25D7%2599%25D7%2594)" title="משטח (טופולוגיה) – Hebräisch" lang="he" hreflang="he" data-title="משטח (טופולוגיה)" data-language-autonym="עברית" data-language-local-name="Hebräisch" class="interlanguage-link-target"><span>עברית</span></a></li> <li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hi.wikipedia.org/wiki/%25E0%25A4%25AA%25E0%25A5%2583%25E0%25A4%25B7%25E0%25A5%258D%25E0%25A4%259F" title="पृष्ट – Hindi" lang="hi" hreflang="hi" data-title="पृष्ट" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li> <li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hr.wikipedia.org/wiki/Ploha_(geometrija)" title="Ploha (geometrija) – Kroazisch" lang="hr" hreflang="hr" data-title="Ploha (geometrija)" data-language-autonym="Hrvatski" data-language-local-name="Kroazisch" class="interlanguage-link-target"><span>Hrvatski</span></a></li> <li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hu.wikipedia.org/wiki/Felsz%25C3%25ADn" title="Felszín – Ungarisch" lang="hu" hreflang="hu" data-title="Felszín" data-language-autonym="Magyar" data-language-local-name="Ungarisch" class="interlanguage-link-target"><span>Magyar</span></a></li> <li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://hy.wikipedia.org/wiki/%25D5%2584%25D5%25A1%25D5%25AF%25D5%25A5%25D6%2580%25D6%2587%25D5%25B8%25D6%2582%25D5%25B5%25D5%25A9" title="Մակերևույթ – Armenisch" lang="hy" hreflang="hy" data-title="Մակերևույթ" data-language-autonym="Հայերեն" data-language-local-name="Armenisch" class="interlanguage-link-target"><span>Հայերեն</span></a></li> <li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ia.wikipedia.org/wiki/Superficie" title="Superficie – Interlingua" lang="ia" hreflang="ia" data-title="Superficie" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li> <li class="interlanguage-link interwiki-id mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://id.wikipedia.org/wiki/Permukaan_(topologi)" title="Permukaan (topologi) – Indonesisch" lang="id" hreflang="id" data-title="Permukaan (topologi)" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li> <li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://inh.wikipedia.org/wiki/%25D0%25A2%25D3%2580%25D0%25B5%25D1%2585%25D0%25B5" title="ТӀехе – Inguschisch" lang="inh" hreflang="inh" data-title="ТӀехе" data-language-autonym="ГӀалгӀай" data-language-local-name="Inguschisch" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li> <li class="interlanguage-link interwiki-io mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://io.wikipedia.org/wiki/Surfaco" title="Surfaco – Ido" lang="io" hreflang="io" data-title="Surfaco" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li> <li class="interlanguage-link interwiki-is mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://is.wikipedia.org/wiki/Yfirbor%25C3%25B0" title="Yfirborð – Iisländisch" lang="is" hreflang="is" data-title="Yfirborð" data-language-autonym="Íslenska" data-language-local-name="Iisländisch" class="interlanguage-link-target"><span>Íslenska</span></a></li> <li class="interlanguage-link interwiki-it mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://it.wikipedia.org/wiki/Superficie" title="Superficie – Italiänisch" lang="it" hreflang="it" data-title="Superficie" data-language-autonym="Italiano" data-language-local-name="Italiänisch" class="interlanguage-link-target"><span>Italiano</span></a></li> <li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ja.wikipedia.org/wiki/%25E6%259B%25B2%25E9%259D%25A2" title="曲面 – Japanisch" lang="ja" hreflang="ja" data-title="曲面" data-language-autonym="日本語" data-language-local-name="Japanisch" class="interlanguage-link-target"><span>日本語</span></a></li> <li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://kk.wikipedia.org/wiki/%25D0%2591%25D0%25B5%25D1%2582_(%25D0%25B3%25D0%25B5%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2582%25D1%2580%25D0%25B8%25D1%258F)" title="Бет (геометрия) – Kasachisch" lang="kk" hreflang="kk" data-title="Бет (геометрия)" data-language-autonym="Қазақша" data-language-local-name="Kasachisch" class="interlanguage-link-target"><span>Қазақша</span></a></li> <li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ko.wikipedia.org/wiki/%25EA%25B3%25A1%25EB%25A9%25B4" title="곡면 – Koreaanisch" lang="ko" hreflang="ko" data-title="곡면" data-language-autonym="한국어" data-language-local-name="Koreaanisch" class="interlanguage-link-target"><span>한국어</span></a></li> <li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ky.wikipedia.org/wiki/%25D0%2591%25D0%25B5%25D1%2582_(%25D0%2593%25D0%25B5%25D0%25BE%25D0%25BC%25D0%25B5%25D1%2582%25D1%2580%25D0%25B8%25D1%258F)" title="Бет (Геометрия) – Kirgiisisch" lang="ky" hreflang="ky" data-title="Бет (Геометрия)" data-language-autonym="Кыргызча" data-language-local-name="Kirgiisisch" class="interlanguage-link-target"><span>Кыргызча</span></a></li> <li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lij.wikipedia.org/wiki/Superfi%25C3%25A7ie_(matematica)" title="Superfiçie (matematica) – Ligurisch" lang="lij" hreflang="lij" data-title="Superfiçie (matematica)" data-language-autonym="Ligure" data-language-local-name="Ligurisch" class="interlanguage-link-target"><span>Ligure</span></a></li> <li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lt.wikipedia.org/wiki/Pavir%25C5%25A1ius" title="Paviršius – Litauisch" lang="lt" hreflang="lt" data-title="Paviršius" data-language-autonym="Lietuvių" data-language-local-name="Litauisch" class="interlanguage-link-target"><span>Lietuvių</span></a></li> <li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://lv.wikipedia.org/wiki/Virsma" title="Virsma – Lettisch" lang="lv" hreflang="lv" data-title="Virsma" data-language-autonym="Latviešu" data-language-local-name="Lettisch" class="interlanguage-link-target"><span>Latviešu</span></a></li> <li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://mr.wikipedia.org/wiki/%25E0%25A4%2586%25E0%25A4%25A1" title="आड – Marathi" lang="mr" hreflang="mr" data-title="आड" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li> <li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nl.wikipedia.org/wiki/Oppervlak_(topologie)" title="Oppervlak (topologie) – Niderländisch" lang="nl" hreflang="nl" data-title="Oppervlak (topologie)" data-language-autonym="Nederlands" data-language-local-name="Niderländisch" class="interlanguage-link-target"><span>Nederlands</span></a></li> <li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://nn.wikipedia.org/wiki/Flate" title="Flate – Norwegisch Nynorsk" lang="nn" hreflang="nn" data-title="Flate" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegisch Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li> <li class="interlanguage-link interwiki-no mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://no.wikipedia.org/wiki/Flate" title="Flate – Norwegisch Bokmål" lang="nb" hreflang="nb" data-title="Flate" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegisch Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li> <li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://oc.wikipedia.org/wiki/Superf%25C3%25ADcia_(matematicas)" title="Superfícia (matematicas) – Okzitanisch" lang="oc" hreflang="oc" data-title="Superfícia (matematicas)" data-language-autonym="Occitan" data-language-local-name="Okzitanisch" class="interlanguage-link-target"><span>Occitan</span></a></li> <li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pl.wikipedia.org/wiki/Powierzchnia" title="Powierzchnia – Polnisch" lang="pl" hreflang="pl" data-title="Powierzchnia" data-language-autonym="Polski" data-language-local-name="Polnisch" class="interlanguage-link-target"><span>Polski</span></a></li> <li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pms.wikipedia.org/wiki/Surfassa" title="Surfassa – Piemontesisch" lang="pms" hreflang="pms" data-title="Surfassa" data-language-autonym="Piemontèis" data-language-local-name="Piemontesisch" class="interlanguage-link-target"><span>Piemontèis</span></a></li> <li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://pt.wikipedia.org/wiki/Superf%25C3%25ADcie" title="Superfície – Portugiisisch" lang="pt" hreflang="pt" data-title="Superfície" data-language-autonym="Português" data-language-local-name="Portugiisisch" class="interlanguage-link-target"><span>Português</span></a></li> <li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ro.wikipedia.org/wiki/Suprafa%25C8%259B%25C4%2583" title="Suprafață – Rumänisch" lang="ro" hreflang="ro" data-title="Suprafață" data-language-autonym="Română" data-language-local-name="Rumänisch" class="interlanguage-link-target"><span>Română</span></a></li> <li class="interlanguage-link interwiki-rsk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://rsk.wikipedia.org/wiki/%25D0%259F%25D0%25BE%25D0%25B2%25D0%25B5%25D1%2580%25D1%2585%25D0%25BD%25D0%25BE%25D1%2581%25D1%2586" title="Поверхносц – Pannonisch-Russinisch" lang="rsk" hreflang="rsk" data-title="Поверхносц" data-language-autonym="Руски" data-language-local-name="Pannonisch-Russinisch" class="interlanguage-link-target"><span>Руски</span></a></li> <li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ru.wikipedia.org/wiki/%25D0%259F%25D0%25BE%25D0%25B2%25D0%25B5%25D1%2580%25D1%2585%25D0%25BD%25D0%25BE%25D1%2581%25D1%2582%25D1%258C" title="Поверхность – Russisch" lang="ru" hreflang="ru" data-title="Поверхность" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li> <li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sh.wikipedia.org/wiki/Povr%25C5%25A1" title="Površ – Serbo-Kroatisch" lang="sh" hreflang="sh" data-title="Površ" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Kroatisch" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li> <li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://simple.wikipedia.org/wiki/Surface" title="Surface – einfaches Englisch" lang="en-simple" hreflang="en-simple" data-title="Surface" data-language-autonym="Simple English" data-language-local-name="einfaches Englisch" class="interlanguage-link-target"><span>Simple English</span></a></li> <li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sk.wikipedia.org/wiki/Povrch" title="Povrch – Slowakisch" lang="sk" hreflang="sk" data-title="Povrch" data-language-autonym="Slovenčina" data-language-local-name="Slowakisch" class="interlanguage-link-target"><span>Slovenčina</span></a></li> <li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sl.wikipedia.org/wiki/Ploskev" title="Ploskev – Slowenisch" lang="sl" hreflang="sl" data-title="Ploskev" data-language-autonym="Slovenščina" data-language-local-name="Slowenisch" class="interlanguage-link-target"><span>Slovenščina</span></a></li> <li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sn.wikipedia.org/wiki/Chiso_(Chiumbwa)" title="Chiso (Chiumbwa) – Schhona" lang="sn" hreflang="sn" data-title="Chiso (Chiumbwa)" data-language-autonym="ChiShona" data-language-local-name="Schhona" class="interlanguage-link-target"><span>ChiShona</span></a></li> <li class="interlanguage-link interwiki-so mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://so.wikipedia.org/wiki/Oogo_(dhul)" title="Oogo (dhul) – Somali" lang="so" hreflang="so" data-title="Oogo (dhul)" data-language-autonym="Soomaaliga" data-language-local-name="Somali" class="interlanguage-link-target"><span>Soomaaliga</span></a></li> <li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sr.wikipedia.org/wiki/%25D0%259F%25D0%25BE%25D0%25B2%25D1%2580%25D1%2588" title="Површ – Serbisch" lang="sr" hreflang="sr" data-title="Површ" data-language-autonym="Српски / srpski" data-language-local-name="Serbisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li> <li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://sv.wikipedia.org/wiki/Yta" title="Yta – Schwedisch" lang="sv" hreflang="sv" data-title="Yta" data-language-autonym="Svenska" data-language-local-name="Schwedisch" class="interlanguage-link-target"><span>Svenska</span></a></li> <li class="interlanguage-link interwiki-te mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://te.wikipedia.org/wiki/%25E0%25B0%2589%25E0%25B0%25AA%25E0%25B0%25B0%25E0%25B0%25BF%25E0%25B0%25A4%25E0%25B0%25B2%25E0%25B0%2582" title="ఉపరితలం – Telugu" lang="te" hreflang="te" data-title="ఉపరితలం" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li> <li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://tr.wikipedia.org/wiki/Y%25C3%25BCzey" title="Yüzey – Türkisch" lang="tr" hreflang="tr" data-title="Yüzey" data-language-autonym="Türkçe" data-language-local-name="Türkisch" class="interlanguage-link-target"><span>Türkçe</span></a></li> <li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uk.wikipedia.org/wiki/%25D0%259F%25D0%25BE%25D0%25B2%25D0%25B5%25D1%2580%25D1%2585%25D0%25BD%25D1%258F" title="Поверхня – Ukrainisch" lang="uk" hreflang="uk" data-title="Поверхня" data-language-autonym="Українська" data-language-local-name="Ukrainisch" class="interlanguage-link-target"><span>Українська</span></a></li> <li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://ur.wikipedia.org/wiki/%25D8%25B3%25D8%25B7%25D8%25AD" title="سطح – Urdu" lang="ur" hreflang="ur" data-title="سطح" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li> <li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://uz.wikipedia.org/wiki/Sirt" title="Sirt – Usbekisch" lang="uz" hreflang="uz" data-title="Sirt" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Usbekisch" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li> <li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vec.wikipedia.org/wiki/Superficie" title="Superficie – Venetisch" lang="vec" hreflang="vec" data-title="Superficie" data-language-autonym="Vèneto" data-language-local-name="Venetisch" class="interlanguage-link-target"><span>Vèneto</span></a></li> <li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://vi.wikipedia.org/wiki/M%25E1%25BA%25B7t_(t%25C3%25B4_p%25C3%25B4)" title="Mặt (tô pô) – Vietnamesisch" lang="vi" hreflang="vi" data-title="Mặt (tô pô)" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamesisch" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> <li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://wuu.wikipedia.org/wiki/%25E6%259B%25B2%25E9%259D%25A2" title="曲面 – Wu" lang="wuu" hreflang="wuu" data-title="曲面" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li> <li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh.wikipedia.org/wiki/%25E6%259B%25B2%25E9%259D%25A2" title="曲面 – Chineesisch" lang="zh" hreflang="zh" data-title="曲面" data-language-autonym="中文" data-language-local-name="Chineesisch" class="interlanguage-link-target"><span>中文</span></a></li> <li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://zh-yue.wikipedia.org/wiki/%25E6%259B%25B2%25E9%259D%25A2" title="曲面 – Kantonesisch" lang="yue" hreflang="yue" data-title="曲面" data-language-autonym="粵語" data-language-local-name="Kantonesisch" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> </section> </div> <div class="minerva-footer-logo"> <img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Alemannische Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"> </div> <ul id="footer-info" class="footer-info hlist hlist-separated"> <li id="footer-info-lastmod">Letschti Bearbeitig vo dere Syte: 07:45, 25. Jänner 2020</li> <li id="footer-info-copyright">Dr Inhalt isch verfiegbar unter <a class="external" rel="nofollow" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://creativecommons.org/licenses/by-sa/4.0/deed.als">CC BY-SA 4.0</a>, wänn nyt andersch aagee isch.</li> </ul> <ul id="footer-places" class="footer-places hlist hlist-separated"> <li id="footer-places-privacy"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy/de">Daateschutz</a></li> <li id="footer-places-about"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Wikipedia:Iber_Wikipedia?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">Iber Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="https://als-m-wikipedia-org.translate.goog/wiki/Wikipedia:Impressum?_x_tr_sl=auto&_x_tr_tl=en&_x_tr_hl=en-GB">Impressum</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Verhaltenskodex</a></li> <li id="footer-places-developers"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://developer.wikimedia.org">Softwareentwickler</a></li> <li id="footer-places-statslink"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://stats.wikimedia.org/%23/als.wikipedia.org">Statischtike</a></li> <li id="footer-places-cookiestatement"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Stellignahm zue Cookie</a></li> <li id="footer-places-terms-use"><a href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://foundation.m.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use/de">Nutzigsbedingige</a></li> <li id="footer-places-desktop-toggle"><a id="mw-mf-display-toggle" href="https://translate.google.com/website?sl=auto&tl=en&hl=en-GB&u=https://als.wikipedia.org/w/index.php?title%3DFl%25C3%25A4che_(Topologie)%26mobileaction%3Dtoggle_view_desktop" data-event-name="switch_to_desktop">Arbetsflechi</a></li> </ul> </div> </footer> </div> </div> <div class="mw-notification-area" data-mw="interface"></div> <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-694cf4987f-t85x2","wgBackendResponseTime":167,"wgPageParseReport":{"limitreport":{"cputime":"0.028","walltime":"0.093","ppvisitednodes":{"value":118,"limit":1000000},"postexpandincludesize":{"value":739,"limit":2097152},"templateargumentsize":{"value":80,"limit":2097152},"expansiondepth":{"value":7,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":252,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 5.220 1 -total","100.00% 5.220 1 Vorlage:Commonscat"," 56.40% 2.944 1 Vorlage:Commons"]},"cachereport":{"origin":"mw-web.codfw.main-7d9797f5d-4c7mf","timestamp":"20241119230231","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Fl\u00e4che (Topologie)","url":"https:\/\/als.wikipedia.org\/wiki\/Fl%C3%A4che_(Topologie)","sameAs":"http:\/\/www.wikidata.org\/entity\/Q484298","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q484298","author":{"@type":"Organization","name":"Autoren der Wikimedia-Projekte"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2011-02-07T11:22:24Z"}</script> <script>(window.NORLQ=window.NORLQ||[]).push(function(){var ns,i,p,img;ns=document.getElementsByTagName('noscript');for(i=0;i<ns.length;i++){p=ns[i].nextSibling;if(p&&p.className&&p.className.indexOf('lazy-image-placeholder')>-1){img=document.createElement('img');img.setAttribute('src',p.getAttribute('data-src'));img.setAttribute('width',p.getAttribute('data-width'));img.setAttribute('height',p.getAttribute('data-height'));img.setAttribute('alt',p.getAttribute('data-alt'));p.parentNode.replaceChild(img,p);}}});</script> <script>function gtElInit() {var lib = new google.translate.TranslateService();lib.translatePage('en', 'en', function () {});}</script> <script src="https://translate.google.com/translate_a/element.js?cb=gtElInit&hl=en-GB&client=wt" type="text/javascript"></script> </body> </html>