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sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Q253214 rootpage-Q253214 skin-vector action-view wb-entitypage wb-itempage wb-itempage-Q253214"><div id="mw-page-base" class="noprint"></div> <div id="mw-head-base" class="noprint"></div> <div id="content" class="mw-body" role="main"> <a id="top"></a> <div id="siteNotice"></div> <div class="mw-indicators"> </div> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="wikibase-title "> <span class="wikibase-title-label">Heine–Borel theorem</span> <span class="wikibase-title-id">(Q253214)</span> </span></h1> <div id="bodyContent" class="vector-body"> <div id="siteSub" class="noprint">From Wikidata</div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="contentSub2"></div> <div id="jump-to-nav"></div> <a class="mw-jump-link" href="#mw-head">Jump to navigation</a> <a class="mw-jump-link" href="#searchInput">Jump to search</a> <div id="mw-content-text" class="mw-body-content"><div id="wb-item-Q253214" class="wikibase-entityview wb-item" lang="en" dir="ltr"> <div class="wikibase-entityview-main"><div class="wikibase-entitytermsview"> <div class="wikibase-entitytermsview-heading"> <div class="wikibase-entitytermsview-heading-description ">theorem about compact sets in Euclidean space</div><div class="wikibase-entitytermsview-heading-aliases "><ul class="wikibase-entitytermsview-aliases"><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">Borel–Lebesgue theorem</li><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">Borel-Lebesgue covering theorem</li><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">Borel–Lebesgue covering theorem</li><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">Borel-Lebesgue theorem</li><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">Heine-Borel theorem</li><li class="wikibase-entitytermsview-aliases-alias" data-aliases-separator="|">Heine–Pincherle–Borel theorem</li></ul></div> </div> <span class="wikibase-toolbar-container"><span class="wikibase-toolbar-item wikibase-toolbar "><span class="wikibase-toolbar-item wikibase-toolbar-button wikibase-toolbar-button-edit"><a href="/wiki/Special:SetLabelDescriptionAliases/Q253214/en" title=""><span class="wb-icon"></span>edit</a></span></span></span> <div class="wikibase-entitytermsview-entitytermsforlanguagelistview "><table class="wikibase-entitytermsforlanguagelistview"> <thead class="wikibase-entitytermsforlanguagelistview-header"> <tr class="wikibase-entitytermsforlanguagelistview-header-row"> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-language">Language</th> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-label">Label</th> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-description">Description</th> <th scope="col" class="wikibase-entitytermsforlanguagelistview-cell wikibase-entitytermsforlanguagelistview-aliases">Also known as</th> </tr> </thead> <tbody class="wikibase-entitytermsforlanguagelistview-listview"><tr class="wikibase-entitytermsforlanguageview wikibase-entitytermsforlanguageview-en" > <th class="wikibase-entitytermsforlanguageview-language">English</th> <td class="wikibase-entitytermsforlanguageview-label"><div class="wikibase-labelview " dir="ltr" lang="en"><div class="wikibase-labelview-container"><span class="wikibase-labelview-text">Heine–Borel theorem</span></div></div></td> <td class="wikibase-entitytermsforlanguageview-description"><div class="wikibase-descriptionview " dir="ltr" lang="en"><div class="wikibase-descriptionview-container"><span class="wikibase-descriptionview-text">theorem about compact sets in Euclidean space</span></div></div></td> <td class="wikibase-entitytermsforlanguageview-aliases"><div class="wikibase-aliasesview "> <ul class="wikibase-aliasesview-list" dir="ltr" lang="en"><li class="wikibase-aliasesview-list-item">Borel–Lebesgue theorem</li><li class="wikibase-aliasesview-list-item">Borel-Lebesgue covering theorem</li><li class="wikibase-aliasesview-list-item">Borel–Lebesgue covering theorem</li><li class="wikibase-aliasesview-list-item">Borel-Lebesgue theorem</li><li class="wikibase-aliasesview-list-item">Heine-Borel theorem</li><li class="wikibase-aliasesview-list-item">Heine–Pincherle–Borel theorem</li></ul> </div></td> </tr></tbody> </table></div> </div><div id="toc"></div><h2 class="wb-section-heading section-heading wikibase-statements" dir="auto" id="claims">Statements</h2><div class="wikibase-statementgrouplistview"><div class="wikibase-listview"><div class="wikibase-statementgroupview" id="P31" data-property-id="P31"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P31" href="/wiki/Property:P31">instance of</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$E5434A8C-B8AC-4B14-B6B4-2C0940B9030F" class="wikibase-statementview wikibase-statement-Q253214$E5434A8C-B8AC-4B14-B6B4-2C0940B9030F wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-13c3f828f961d04a2bd2ee365e96c3d18d8122a8"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q65943" href="/wiki/Q65943">theorem</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P361" data-property-id="P361"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P361" href="/wiki/Property:P361">part of</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$F4D72EE3-074D-4D1C-8525-C91681101E35" class="wikibase-statementview wikibase-statement-Q253214$F4D72EE3-074D-4D1C-8525-C91681101E35 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-35b6639c00d0d71a5e799dbc766945e990510ed5"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q944443" href="/wiki/Q944443">list of theorems</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"><div class="wikibase-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-daf1c4fcb58181b02dff9cc89deb084004ddae4b"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P407" href="/wiki/Property:P407">language of work or name</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q1860" href="/wiki/Q1860">English</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P138" data-property-id="P138"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P138" href="/wiki/Property:P138">named after</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$3c10beff-4bfe-d6ab-e153-5de9d02e274b" class="wikibase-statementview wikibase-statement-Q253214$3c10beff-4bfe-d6ab-e153-5de9d02e274b wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-7f92bfab3421ad94cd81326bcae27b98fb0e72fd"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q77301" href="/wiki/Q77301">Eduard Heine</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q253214$0686d220-4f12-a526-5c47-b210d4a55a7f" class="wikibase-statementview wikibase-statement-Q253214$0686d220-4f12-a526-5c47-b210d4a55a7f wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-d97866abc8baaddd97401e709b46476c6957ad28"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q154356" href="/wiki/Q154356">Émile Borel</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div><div id="Q253214$c0b39e03-4570-34f9-4a29-d33e35688654" class="wikibase-statementview wikibase-statement-Q253214$c0b39e03-4570-34f9-4a29-d33e35688654 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-ffc30bf3b95b3e65a3dd7d8a5cf83a355ab3f119"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q206005" href="/wiki/Q206005">Henri Lebesgue</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2579" data-property-id="P2579"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2579" href="/wiki/Property:P2579">studied in</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$096B85BE-5BB6-4EBB-B711-84E4B1C94818" class="wikibase-statementview wikibase-statement-Q253214$096B85BE-5BB6-4EBB-B711-84E4B1C94818 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-5b5042bbd494dfe037fbafec36a9b29cb71e9456"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q149972" href="/wiki/Q149972">calculus</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2534" data-property-id="P2534"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2534" href="/wiki/Property:P2534">defining formula</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$87F96A7B-4A6C-4BC8-AA60-79FE05D967AC" class="wikibase-statementview wikibase-statement-Q253214$87F96A7B-4A6C-4BC8-AA60-79FE05D967AC wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-6827c691893c5a43e2345709d3aa7603599d72ef"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><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 C_{T}=C_{K}\cup \{U\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>T</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>K</mi> </mrow> </msub> <mo>∪</mo> <mo fence="false" stretchy="false">{</mo> <mi>U</mi> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{T}=C_{K}\cup \{U\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/719117ff7a7ccedcf5fd380363a594185a2a6019" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.195ex; height:2.843ex;" alt="{\displaystyle C_{T}=C_{K}\cup \{U\}}"></span></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-fa278ebfc458360e5aed63d5058cca83c46134f1"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-e4f6d9441d0600513c4533c672b5ab472dc73694"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P143" href="/wiki/Property:P143">imported from Wikimedia project</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q328" href="/wiki/Q328">English Wikipedia</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P6104" data-property-id="P6104"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P6104" href="/wiki/Property:P6104">maintained by WikiProject</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$7D9D5F2D-2F4F-46C3-8214-ACB67A4A06B1" class="wikibase-statementview wikibase-statement-Q253214$7D9D5F2D-2F4F-46C3-8214-ACB67A4A06B1 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-a27c5fdb35b42381f12b2a603711e56d98dd77fd"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q8487137" href="/wiki/Q8487137">WikiProject Mathematics</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div></div></div><h2 class="wb-section-heading section-heading wikibase-statements wikibase-statements-identifiers" dir="auto" id="identifiers">Identifiers</h2><div class="wikibase-statementgrouplistview"><div class="wikibase-listview"><div class="wikibase-statementgroupview" id="P1417" data-property-id="P1417"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P1417" href="/wiki/Property:P1417">Encyclopædia Britannica Online ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$10881F70-70A5-4D9B-BDD8-922CC3720EAB" class="wikibase-statementview wikibase-statement-Q253214$10881F70-70A5-4D9B-BDD8-922CC3720EAB wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-f113dfbcec9a903538902d4a622a48d5009fb9e7"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://www.britannica.com/topic/Heine-Borel-theorem" rel="nofollow">topic/Heine-Borel-theorem</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"><div class="wikibase-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-44107685ccf2e49c99f62157c784c51f02a8713a"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P1810" href="/wiki/Property:P1810">subject named as</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">Heine-Borel theorem</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P7554" data-property-id="P7554"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P7554" href="/wiki/Property:P7554">Encyclopedia of Mathematics article ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$ade35834-41a6-52fc-343d-b6c65deca32c" class="wikibase-statementview wikibase-statement-Q253214$ade35834-41a6-52fc-343d-b6c65deca32c wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-ef2d9e5e79ef22a673895e775eaece47cad49b82"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://encyclopediaofmath.org/wiki/Borel-Lebesgue_covering_theorem" rel="nofollow">Borel-Lebesgue_covering_theorem</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P646" data-property-id="P646"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P646" href="/wiki/Property:P646">Freebase ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$56609547-C029-4421-8B6C-0DFC8BBF8800" class="wikibase-statementview wikibase-statement-Q253214$56609547-C029-4421-8B6C-0DFC8BBF8800 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-a9b50e5ceaa57230a9e4a5e1c352eebd68a99003"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://www.google.com/search?kgmid=/m/0g71c" rel="nofollow">/m/0g71c</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">1 reference</div> <div class="wikibase-statementview-references wikibase-initially-collapsed"><div class="wikibase-listview"><div class="wikibase-referenceview wikibase-referenceview-2b00cb481cddcac7623114367489b5c194901c4a"> <div class="wikibase-referenceview-heading"></div> <div class="wikibase-referenceview-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-a94b740202b097dd33355e0e6c00e54b9395e5e0"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P248" href="/wiki/Property:P248">stated in</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a title="Q15241312" href="/wiki/Q15241312">Freebase Data Dumps</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-fde79ecb015112d2f29229ccc1ec514ed3e71fa2"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P577" href="/wiki/Property:P577">publication date</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">28 October 2013</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div> </div></div></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P12385" data-property-id="P12385"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P12385" href="/wiki/Property:P12385">Gran Enciclopèdia Catalana ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$ae5c94a2-190d-4884-978a-ad72aaa19bd3" class="wikibase-statementview wikibase-statement-Q253214$ae5c94a2-190d-4884-978a-ad72aaa19bd3 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-5eb4de44889ae8d8762b0b69768cf72b81032e5d"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://www.enciclopedia.cat/gran-enciclopedia-catalana/teorema-de-borel-lebesgue" rel="nofollow">teorema-de-borel-lebesgue</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P1296" data-property-id="P1296"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P1296" href="/wiki/Property:P1296">Gran Enciclopèdia Catalana ID (former scheme)</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$A1384BAB-9821-4E66-B967-91ACE1B2CCB7" class="wikibase-statementview wikibase-statement-Q253214$A1384BAB-9821-4E66-B967-91ACE1B2CCB7 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-4626f3ea7ef558f704b3754165d75af966c90634"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://www.enciclopedia.cat/ec-gec-0011362.xml" rel="nofollow">0011362</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P2812" data-property-id="P2812"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P2812" href="/wiki/Property:P2812">MathWorld ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$ee06300f-460d-bb7d-a03b-df1ad090a814" class="wikibase-statementview wikibase-statement-Q253214$ee06300f-460d-bb7d-a03b-df1ad090a814 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-1bbf6bd21b76e9f3202520bb11082d7eb48d0a4e"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://mathworld.wolfram.com/Heine-BorelTheorem.html" rel="nofollow">Heine-BorelTheorem</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P6366" data-property-id="P6366"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P6366" href="/wiki/Property:P6366">Microsoft Academic ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$71176495-D58C-4792-973E-265192E0FAE9" class="wikibase-statementview wikibase-statement-Q253214$71176495-D58C-4792-973E-265192E0FAE9 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-ad55e6d32231fb563a60cb8fcd5254827b284e7a"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://web.archive.org/web/*/https://academic.microsoft.com/v2/detail/2779445803" rel="nofollow">2779445803</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P6781" data-property-id="P6781"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P6781" href="/wiki/Property:P6781">ProofWiki ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$74b79644-493c-ecfe-d518-1e3377740351" class="wikibase-statementview wikibase-statement-Q253214$74b79644-493c-ecfe-d518-1e3377740351 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-9cf8b56885d3002cdedf5f2194098b46cdae5eda"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://proofwiki.org/wiki/Heine-Borel_Theorem" rel="nofollow">Heine-Borel_Theorem</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div><div class="wikibase-statementgroupview" id="P9621" data-property-id="P9621"> <div class="wikibase-statementgroupview-property"> <div class="wikibase-statementgroupview-property-label" dir="auto"><a title="Property:P9621" href="/wiki/Property:P9621">Treccani's Enciclopedia della Matematica ID</a></div> </div> <div class="wikibase-statementlistview"> <div class="wikibase-statementlistview-listview"> <div id="Q253214$80996d86-40de-78b9-ead1-224fdc501e97" class="wikibase-statementview wikibase-statement-Q253214$80996d86-40de-78b9-ead1-224fdc501e97 wb-normal"> <div class="wikibase-statementview-rankselector"><div class="wikibase-rankselector ui-state-disabled"> <span class="ui-icon ui-icon-rankselector wikibase-rankselector-normal" title="Normal rank"></span> </div></div> <div class="wikibase-statementview-mainsnak-container"> <div class="wikibase-statementview-mainsnak" dir="auto"><div class="wikibase-snakview wikibase-snakview-df627741665543e92198ecba4df70b48aa81e03f"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak"><a class="wb-external-id external" href="https://www.treccani.it/enciclopedia/teorema-di-heine-pincherle-borel_(Enciclopedia-della-Matematica)" rel="nofollow">teorema-di-heine-pincherle-borel</a></div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> <div class="wikibase-statementview-qualifiers"><div class="wikibase-listview"><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-d29024f47a21af268abfa88e8d66280f00ee353b"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P1810" href="/wiki/Property:P1810">subject named as</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">Heine-Pincherle-Borel, teorema di</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div><div class="wikibase-snaklistview"> <div class="wikibase-snaklistview-listview"><div class="wikibase-snakview wikibase-snakview-d5e8f85f586b68bda45bd51ec5744ac41f2ab46a"> <div class="wikibase-snakview-property-container"> <div class="wikibase-snakview-property" dir="auto"><a title="Property:P577" href="/wiki/Property:P577">publication date</a></div> </div> <div class="wikibase-snakview-value-container" dir="auto"> <div class="wikibase-snakview-typeselector"></div> <div class="wikibase-snakview-body"> <div class="wikibase-snakview-value wikibase-snakview-variation-valuesnak">2017</div> <div class="wikibase-snakview-indicators"></div> </div> </div> </div></div> </div></div></div> </div> <span class="wikibase-toolbar-container"></span> <div class="wikibase-statementview-references-container"> <div class="wikibase-statementview-references-heading">0 references</div> <div class="wikibase-statementview-references "></div> </div> </div> </div> <span class="wikibase-toolbar-container"></span> </div> </div></div></div></div> <div class="wikibase-entityview-side"><div class="wikibase-pageImage"> <div class="help"> <span class="wb-help-field-hint wikibase-toolbar-item wikibase-wbtooltip" title="This image is taken from the statements of this Item. You can adjust the image by changing the statement."> </span> </div> </div><h2 class="wb-section-heading section-heading wikibase-sitelinks" dir="auto" id="sitelinks">Sitelinks</h2><div class="wikibase-sitelinkgrouplistview"><div class="wikibase-listview"><div class="wikibase-sitelinkgroupview mw-collapsible" data-wb-sitelinks-group="wikipedia"> <div class="wikibase-sitelinkgroupview-heading-section"> <div class="mw-collapsible-toggle-placeholder"></div> <div class="wikibase-sitelinkgroupview-heading-container"> <h3 class="wb-sitelinks-heading" dir="auto" id="sitelinks-wikipedia">Wikipedia<span class="wikibase-sitelinkgroupview-counter">(24 entries)</span></h3> <span class="wikibase-toolbar-container"><span class="wikibase-toolbar-item wikibase-toolbar "><span class="wikibase-toolbar-item wikibase-toolbar-button wikibase-toolbar-button-edit"><a href="/wiki/Special:SetSiteLink/Q253214" title=""><span class="wb-icon"></span>edit</a></span></span></span> </div> </div> <div class="mw-collapsible-content"> <div class="wikibase-sitelinklistview"> <ul class="wikibase-sitelinklistview-listview"><li class="wikibase-sitelinkview wikibase-sitelinkview-arwiki" data-wb-siteid="arwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-arwiki" title="Arabic">arwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-arwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ar"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%A8%D8%B1%D9%87%D9%86%D8%A9_%D9%87%D8%A7%D9%8A%D9%86-%D8%A8%D9%88%D8%B1%D9%8A%D9%84" hreflang="ar" title="مبرهنة هاين-بوريل">مبرهنة هاين-بوريل</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-cawiki" data-wb-siteid="cawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-cawiki" title="Catalan">cawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-cawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ca"><a href="https://ca.wikipedia.org/wiki/Teorema_de_Heine-Borel" hreflang="ca" title="Teorema de Heine-Borel">Teorema de Heine-Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-dewiki" data-wb-siteid="dewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-dewiki" title="German">dewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-dewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="de"><a href="https://de.wikipedia.org/wiki/Satz_von_Heine-Borel" hreflang="de" title="Satz von Heine-Borel">Satz von Heine-Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-enwiki" data-wb-siteid="enwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-enwiki" title="English">enwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-enwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="en"><a href="https://en.wikipedia.org/wiki/Heine%E2%80%93Borel_theorem" hreflang="en" title="Heine–Borel theorem">Heine–Borel theorem</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-eswiki" data-wb-siteid="eswiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-eswiki" title="Spanish">eswiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-eswiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="es"><a href="https://es.wikipedia.org/wiki/Teorema_de_Heine-Borel" hreflang="es" title="Teorema de Heine-Borel">Teorema de Heine-Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-etwiki" data-wb-siteid="etwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-etwiki" title="Estonian">etwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-etwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="et"><a href="https://et.wikipedia.org/wiki/Boreli-Lebesgue%27i_teoreem" hreflang="et" title="Boreli-Lebesgue'i teoreem">Boreli-Lebesgue'i teoreem</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-fiwiki" data-wb-siteid="fiwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-fiwiki" title="Finnish">fiwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-fiwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="fi"><a href="https://fi.wikipedia.org/wiki/Heinen%E2%80%93Borelin_lause" hreflang="fi" title="Heinen–Borelin lause">Heinen–Borelin lause</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-frwiki" data-wb-siteid="frwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-frwiki" title="French">frwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-frwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="fr"><a href="https://fr.wikipedia.org/wiki/Th%C3%A9or%C3%A8me_de_Borel-Lebesgue" hreflang="fr" title="Théorème de Borel-Lebesgue">Théorème de Borel-Lebesgue</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-hewiki" data-wb-siteid="hewiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-hewiki" title="Hebrew">hewiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-hewiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="he"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A9%D7%A4%D7%98_%D7%94%D7%99%D7%99%D7%A0%D7%94-%D7%91%D7%95%D7%A8%D7%9C" hreflang="he" title="משפט היינה-בורל">משפט היינה-בורל</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-huwiki" data-wb-siteid="huwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-huwiki" title="Hungarian">huwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-huwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="hu"><a href="https://hu.wikipedia.org/wiki/Borel%E2%80%93Lebesgue-t%C3%A9tel" hreflang="hu" title="Borel–Lebesgue-tétel">Borel–Lebesgue-tétel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-idwiki" data-wb-siteid="idwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-idwiki" title="Indonesian">idwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-idwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="id"><a href="https://id.wikipedia.org/wiki/Teorema_Heine%E2%80%93Borel" hreflang="id" title="Teorema Heine–Borel">Teorema Heine–Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-itwiki" data-wb-siteid="itwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-itwiki" title="Italian">itwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-itwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="it"><a href="https://it.wikipedia.org/wiki/Teorema_di_Heine-Borel" hreflang="it" title="Teorema di Heine-Borel">Teorema di Heine-Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-jawiki" data-wb-siteid="jawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-jawiki" title="Japanese">jawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-jawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ja"><a href="https://ja.wikipedia.org/wiki/%E3%83%8F%E3%82%A4%E3%83%8D%E3%83%BB%E3%83%9C%E3%83%AC%E3%83%AB%E3%81%AE%E8%A2%AB%E8%A6%86%E5%AE%9A%E7%90%86" hreflang="ja" title="ハイネ・ボレルの被覆定理">ハイネ・ボレルの被覆定理</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-kowiki" data-wb-siteid="kowiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-kowiki" title="Korean">kowiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-kowiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ko"><a href="https://ko.wikipedia.org/wiki/%ED%95%98%EC%9D%B4%EB%84%A4-%EB%B3%B4%EB%A0%90_%EC%A0%95%EB%A6%AC" hreflang="ko" title="하이네-보렐 정리">하이네-보렐 정리</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-nlwiki" data-wb-siteid="nlwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-nlwiki" title="Dutch">nlwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-nlwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="nl"><a href="https://nl.wikipedia.org/wiki/Stelling_van_Heine-Borel" hreflang="nl" title="Stelling van Heine-Borel">Stelling van Heine-Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-plwiki" data-wb-siteid="plwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-plwiki" title="Polish">plwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-plwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="pl"><a href="https://pl.wikipedia.org/wiki/Twierdzenie_Heinego-Borela" hreflang="pl" title="Twierdzenie Heinego-Borela">Twierdzenie Heinego-Borela</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-ptwiki" data-wb-siteid="ptwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-ptwiki" title="Portuguese">ptwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-ptwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="pt"><a href="https://pt.wikipedia.org/wiki/Teorema_de_Heine-Borel" hreflang="pt" title="Teorema de Heine-Borel">Teorema de Heine-Borel</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-ruwiki" data-wb-siteid="ruwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-ruwiki" title="Russian">ruwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-ruwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ru"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D0%B5%D0%BC%D0%BC%D0%B0_%D0%93%D0%B5%D0%B9%D0%BD%D0%B5_%E2%80%94_%D0%91%D0%BE%D1%80%D0%B5%D0%BB%D1%8F" hreflang="ru" title="Лемма Гейне — Бореля">Лемма Гейне — Бореля</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-srwiki" data-wb-siteid="srwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-srwiki" title="Serbian">srwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-srwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sr"><a href="https://sr.wikipedia.org/wiki/%D0%91%D0%BE%D1%80%D0%B5%D0%BB-%D0%9B%D0%B5%D0%B1%D0%B5%D0%B3%D0%BE%D0%B2%D0%B0_%D0%BB%D0%B5%D0%BC%D0%B0" hreflang="sr" title="Борел-Лебегова лема">Борел-Лебегова лема</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-svwiki" data-wb-siteid="svwiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-svwiki" title="Swedish">svwiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-svwiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="sv"><a href="https://sv.wikipedia.org/wiki/Heine%E2%80%93Borels_sats" hreflang="sv" title="Heine–Borels sats">Heine–Borels sats</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li class="wikibase-sitelinkview wikibase-sitelinkview-tawiki" data-wb-siteid="tawiki"> <span class="wikibase-sitelinkview-siteid-container"> <span class="wikibase-sitelinkview-siteid wikibase-sitelinkview-siteid-tawiki" title="Tamil">tawiki</span> </span><span class="wikibase-sitelinkview-link wikibase-sitelinkview-link-tawiki"><span class="wikibase-sitelinkview-page" dir="auto" lang="ta"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B9%E0%AF%86%E0%AE%AF%E0%AE%BF%E0%AE%A9%E0%AF%8D-%E0%AE%AA%E0%AF%8B%E0%AE%B0%E0%AE%B2%E0%AF%8D_%E0%AE%A4%E0%AF%87%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%AE%E0%AF%8D" hreflang="ta" title="ஹெயின்-போரல் தேற்றம்">ஹெயின்-போரல் தேற்றம்</a></span><span class="wikibase-badgeselector wikibase-sitelinkview-badges"></span></span> </li><li 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