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class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to sidebar</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">hide</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> </div> <div id="contentSub"><div id="mw-content-subtitle">← <a href="/wiki/Kuratowski%27s_theorem" title="Kuratowski's theorem">Kuratowski's theorem</a></div></div> <div id="mw-content-text" class="mw-body-content"><div class='mw-htmlform-ooui-wrapper oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-padded oo-ui-panelLayout-framed'><form action='/wiki/Special:WhatLinksHere' method='get' enctype='application/x-www-form-urlencoded' class='mw-htmlform mw-htmlform-ooui oo-ui-layout oo-ui-formLayout'><fieldset class='oo-ui-layout oo-ui-labelElement oo-ui-fieldsetLayout'><legend class='oo-ui-fieldsetLayout-header'><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon'></span><span class='oo-ui-labelElement-label'>What links here</span></legend><div class='oo-ui-fieldsetLayout-group'><div class='oo-ui-widget oo-ui-widget-enabled'><div class='oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-padded oo-ui-panelLayout-framed'><fieldset class='oo-ui-layout oo-ui-labelElement oo-ui-fieldsetLayout'><legend class='oo-ui-fieldsetLayout-header'><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon'></span><span class='oo-ui-labelElement-label'>⧼whatlinkshere-whatlinkshere-target⧽</span></legend><div class='oo-ui-fieldsetLayout-group'><div class='oo-ui-widget oo-ui-widget-enabled'><div id="mw-htmlform-whatlinkshere-target"><div data-mw-modules='mediawiki.widgets' id='ooui-php-2' class='mw-htmlform-field-HTMLTitleTextField mw-htmlform-autoinfuse oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-top' data-ooui='{"_":"mw.htmlform.FieldLayout","fieldWidget":{"tag":"mw-whatlinkshere-target"},"align":"top","helpInline":true,"$overlay":true,"label":{"html":"Page:"},"classes":["mw-htmlform-field-HTMLTitleTextField","mw-htmlform-autoinfuse"]}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-header'><label for='ooui-php-1' class='oo-ui-labelElement-label'>Page:</label></span><div class='oo-ui-fieldLayout-field'><div id='mw-whatlinkshere-target' class='oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-indicatorElement oo-ui-textInputWidget oo-ui-textInputWidget-type-text oo-ui-textInputWidget-php mw-widget-titleInputWidget' data-ooui='{"_":"mw.widgets.TitleInputWidget","relative":false,"$overlay":true,"maxLength":255,"name":"target","value":"Kuratowski's theorem","inputId":"ooui-php-1","indicator":"required","required":true}'><input type='text' tabindex='0' name='target' value='Kuratowski's theorem' required='' maxlength='255' id='ooui-php-1' class='oo-ui-inputWidget-input' /><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon'></span><span class='oo-ui-indicatorElement-indicator oo-ui-indicator-required'></span></div></div></div></div></div></div></div></fieldset></div><div class='oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-padded oo-ui-panelLayout-framed'><fieldset class='oo-ui-layout oo-ui-labelElement oo-ui-fieldsetLayout'><legend class='oo-ui-fieldsetLayout-header'><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon'></span><span class='oo-ui-labelElement-label'>⧼whatlinkshere-whatlinkshere-ns⧽</span></legend><div class='oo-ui-fieldsetLayout-group'><div class='oo-ui-widget oo-ui-widget-enabled'><div id="mw-htmlform-whatlinkshere-ns"><div data-mw-modules='mediawiki.widgets' id='ooui-php-5' class='mw-htmlform-field-HTMLSelectNamespace mw-htmlform-autoinfuse oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-top' data-ooui='{"_":"mw.htmlform.FieldLayout","fieldWidget":{"tag":"namespace"},"align":"top","helpInline":true,"$overlay":true,"label":{"html":"Namespace:"},"classes":["mw-htmlform-field-HTMLSelectNamespace","mw-htmlform-autoinfuse"]}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-header'><label for='ooui-php-3' class='oo-ui-labelElement-label'>Namespace:</label></span><div class='oo-ui-fieldLayout-field'><div id='namespace' class='oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-dropdownInputWidget oo-ui-dropdownInputWidget-php mw-widget-namespaceInputWidget' data-ooui='{"_":"mw.widgets.NamespaceInputWidget","includeAllValue":"","userLang":true,"exclude":[],"include":null,"dropdown":{"$overlay":true},"name":"namespace","inputId":"ooui-php-3","required":false}'><select tabindex='0' name='namespace' id='ooui-php-3' class='oo-ui-inputWidget-input oo-ui-indicator-down'><option value='' selected='selected'>all</option><option value='0'>(Article)</option><option value='1'>Talk</option><option value='2'>User</option><option value='3'>User talk</option><option value='4'>Wikipedia</option><option value='5'>Wikipedia talk</option><option value='6'>File</option><option value='7'>File talk</option><option value='8'>MediaWiki</option><option value='9'>MediaWiki talk</option><option value='10'>Template</option><option value='11'>Template talk</option><option value='12'>Help</option><option value='13'>Help talk</option><option value='14'>Category</option><option value='15'>Category talk</option><option value='100'>Portal</option><option value='101'>Portal talk</option><option value='118'>Draft</option><option value='119'>Draft talk</option><option value='126'>MOS</option><option value='127'>MOS talk</option><option value='710'>TimedText</option><option value='711'>TimedText talk</option><option value='828'>Module</option><option value='829'>Module talk</option></select></div></div></div></div><div id='ooui-php-6' class='mw-htmlform-field-HTMLCheckField mw-htmlform-autoinfuse mw-htmlform-hide-if oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-inline' data-ooui='{"_":"mw.htmlform.FieldLayout","fieldWidget":{"tag":"nsinvert"},"align":"inline","help":{"html":"Check this box to hide links from pages within the selected namespace."},"$overlay":true,"label":{"html":"Invert selection"},"condState":{"hide":["===","namespace",""]},"classes":["mw-htmlform-field-HTMLCheckField","mw-htmlform-autoinfuse","mw-htmlform-hide-if"]}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-field'><span id='nsinvert' class='oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-checkboxInputWidget' data-ooui='{"_":"OO.ui.CheckboxInputWidget","name":"invert","value":"1","inputId":"ooui-php-4","required":false}'><input type='checkbox' tabindex='0' name='invert' value='1' id='ooui-php-4' class='oo-ui-inputWidget-input' /><span class='oo-ui-checkboxInputWidget-checkIcon oo-ui-widget oo-ui-widget-enabled oo-ui-iconElement-icon oo-ui-icon-check oo-ui-iconElement oo-ui-labelElement-invisible oo-ui-iconWidget oo-ui-image-invert'></span></span></span><span class='oo-ui-fieldLayout-header'><span class='oo-ui-fieldLayout-help oo-ui-widget oo-ui-widget-enabled oo-ui-buttonElement oo-ui-buttonElement-frameless oo-ui-iconElement oo-ui-buttonWidget'><a role='button' title='Check this box to hide links from pages within the selected namespace.' tabindex='0' rel='nofollow' class='oo-ui-buttonElement-button'><span class='oo-ui-iconElement-icon oo-ui-icon-info'></span><span class='oo-ui-labelElement-label'></span><span class='oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator'></span></a></span><label for='ooui-php-4' class='oo-ui-labelElement-label'>Invert selection</label></span></div></div></div></div></div></fieldset></div><div class='oo-ui-layout oo-ui-panelLayout oo-ui-panelLayout-padded oo-ui-panelLayout-framed'><fieldset class='oo-ui-layout oo-ui-labelElement oo-ui-fieldsetLayout'><legend class='oo-ui-fieldsetLayout-header'><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon'></span><span class='oo-ui-labelElement-label'>⧼whatlinkshere-whatlinkshere-filter⧽</span></legend><div class='oo-ui-fieldsetLayout-group'><div class='oo-ui-widget oo-ui-widget-enabled'><div id="mw-htmlform-whatlinkshere-filter"><div id='ooui-php-14' class='mw-htmlform-field-HTMLCheckField oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-inline' data-ooui='{"_":"mw.htmlform.FieldLayout","fieldWidget":{"tag":"mw-input-hidetrans"},"align":"inline","helpInline":true,"$overlay":true,"label":{"html":"Hide transclusions"},"classes":["mw-htmlform-field-HTMLCheckField"]}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-field'><span id='mw-input-hidetrans' class='oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-checkboxInputWidget' data-ooui='{"_":"OO.ui.CheckboxInputWidget","name":"hidetrans","value":"1","inputId":"ooui-php-11","required":false}'><input type='checkbox' tabindex='0' name='hidetrans' value='1' id='ooui-php-11' class='oo-ui-inputWidget-input' /><span class='oo-ui-checkboxInputWidget-checkIcon oo-ui-widget oo-ui-widget-enabled oo-ui-iconElement-icon oo-ui-icon-check oo-ui-iconElement oo-ui-labelElement-invisible oo-ui-iconWidget oo-ui-image-invert'></span></span></span><span class='oo-ui-fieldLayout-header'><label for='ooui-php-11' class='oo-ui-labelElement-label'>Hide transclusions</label></span></div></div><div id='ooui-php-15' class='mw-htmlform-field-HTMLCheckField oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-inline' data-ooui='{"_":"mw.htmlform.FieldLayout","fieldWidget":{"tag":"mw-input-hidelinks"},"align":"inline","helpInline":true,"$overlay":true,"label":{"html":"Hide links"},"classes":["mw-htmlform-field-HTMLCheckField"]}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-field'><span id='mw-input-hidelinks' class='oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-checkboxInputWidget' data-ooui='{"_":"OO.ui.CheckboxInputWidget","name":"hidelinks","value":"1","inputId":"ooui-php-12","required":false}'><input type='checkbox' tabindex='0' name='hidelinks' value='1' id='ooui-php-12' class='oo-ui-inputWidget-input' /><span class='oo-ui-checkboxInputWidget-checkIcon oo-ui-widget oo-ui-widget-enabled oo-ui-iconElement-icon oo-ui-icon-check oo-ui-iconElement oo-ui-labelElement-invisible oo-ui-iconWidget oo-ui-image-invert'></span></span></span><span class='oo-ui-fieldLayout-header'><label for='ooui-php-12' class='oo-ui-labelElement-label'>Hide links</label></span></div></div><div id='ooui-php-16' class='mw-htmlform-field-HTMLCheckField oo-ui-layout oo-ui-labelElement oo-ui-fieldLayout oo-ui-fieldLayout-align-inline' data-ooui='{"_":"mw.htmlform.FieldLayout","fieldWidget":{"tag":"mw-input-hideredirs"},"align":"inline","helpInline":true,"$overlay":true,"label":{"html":"Hide redirects"},"classes":["mw-htmlform-field-HTMLCheckField"]}'><div class='oo-ui-fieldLayout-body'><span class='oo-ui-fieldLayout-field'><span id='mw-input-hideredirs' class='oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-checkboxInputWidget' data-ooui='{"_":"OO.ui.CheckboxInputWidget","name":"hideredirs","value":"1","inputId":"ooui-php-13","required":false}'><input type='checkbox' tabindex='0' name='hideredirs' value='1' id='ooui-php-13' class='oo-ui-inputWidget-input' /><span class='oo-ui-checkboxInputWidget-checkIcon oo-ui-widget oo-ui-widget-enabled oo-ui-iconElement-icon oo-ui-icon-check oo-ui-iconElement oo-ui-labelElement-invisible oo-ui-iconWidget oo-ui-image-invert'></span></span></span><span class='oo-ui-fieldLayout-header'><label for='ooui-php-13' class='oo-ui-labelElement-label'>Hide redirects</label></span></div></div></div></div></div></fieldset></div> <input id="mw-input-limit" name="limit" type="hidden" value="50"> <div class="mw-htmlform-submit-buttons"> <span id='ooui-php-17' class='mw-htmlform-submit oo-ui-widget oo-ui-widget-enabled oo-ui-inputWidget oo-ui-buttonElement oo-ui-buttonElement-framed oo-ui-labelElement oo-ui-flaggedElement-primary oo-ui-flaggedElement-progressive oo-ui-buttonInputWidget' data-ooui='{"_":"OO.ui.ButtonInputWidget","type":"submit","value":"Go","label":"Go","flags":["primary","progressive"],"classes":["mw-htmlform-submit"]}'><button type='submit' tabindex='0' value='Go' class='oo-ui-inputWidget-input oo-ui-buttonElement-button'><span class='oo-ui-iconElement-icon oo-ui-iconElement-noIcon oo-ui-image-invert'></span><span class='oo-ui-labelElement-label'>Go</span><span class='oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator oo-ui-image-invert'></span></button></span></div> </div></div></fieldset></form></div><div class="mw-parser-output mw-linkshere"> <p>The following pages link to <b id="specialDeleteTarget"><a href="/wiki/Kuratowski%27s_theorem" title="Kuratowski's theorem">Kuratowski's theorem</a></b> <span id="specialDeleteLink"></span> </p> <style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist inline">External tools <ul><li>(<a class="external text" href="https://linkcount.toolforge.org/?project=en.wikipedia.org&page=Kuratowski%27s+theorem">link count</a></li> <li><a class="external text" href="https://templatecount.toolforge.org/index.php?lang=en&namespace=0&name=Kuratowski%27s_theorem">transclusion count</a></li> <li><a class="external text" href="https://wlh.toolforge.org/pages/Kuratowski%27s_theorem?ns=0">sorted list</a>) · See <a href="/wiki/Help:What_links_here" title="Help:What links here">help page</a> for <a href="/wiki/Help:What_links_here#Transclusion" title="Help:What links here">transcluding these entries</a></li></ul> </div> <hr /> </div><p>Showing 50 items. </p><div class="mw-pager-navigation-bar">View (<span class="mw-prevlink">previous 50</span> | <a href="/w/index.php?title=Special:WhatLinksHere/Kuratowski%27s_theorem&limit=50&dir=next&offset=2%7C39556729" rel="next" class="mw-nextlink">next 50</a>) (<a href="/w/index.php?title=Special:WhatLinksHere/Kuratowski%27s_theorem&limit=20" class="mw-numlink">20</a> | <span class="mw-numlink">50</span> | <a href="/w/index.php?title=Special:WhatLinksHere/Kuratowski%27s_theorem&limit=100" class="mw-numlink">100</a> | <a href="/w/index.php?title=Special:WhatLinksHere/Kuratowski%27s_theorem&limit=250" class="mw-numlink">250</a> | <a href="/w/index.php?title=Special:WhatLinksHere/Kuratowski%27s_theorem&limit=500" class="mw-numlink">500</a>)</div><ul id="mw-whatlinkshere-list"><li><bdi dir="ltr"><a href="/wiki/Graph_theory" title="Graph theory">Graph theory</a></bdi> <span class="mw-whatlinkshere-tools">(<a href="/w/index.php?title=Special:WhatLinksHere&target=Graph+theory" title="Special:WhatLinksHere">links</a> | <a href="/w/index.php?title=Graph_theory&action=edit" title="Graph theory">edit</a>)</span></li> <li><bdi dir="ltr"><a href="/wiki/Planar_graph" title="Planar graph">Planar graph</a></bdi> <span class="mw-whatlinkshere-tools">(<a href="/w/index.php?title=Special:WhatLinksHere&target=Planar+graph" title="Special:WhatLinksHere">links</a> | <a href="/w/index.php?title=Planar_graph&action=edit" title="Planar graph">edit</a>)</span></li> <li><bdi dir="ltr"><a 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