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- Dehns_lemma abstract "In mathematics Dehn's lemma asserts that a piecewise-linear map of a disk into a 3-manifold, with the map's singularity set in the disc's interior, implies the existence of another piecewise-linear map of the disc which is an embedding and is identical to the original on the boundary of the disc.This theorem was thought to be proven by Max Dehn (1910), but Hellmuth Kneser (1929, page 260) found a gap in the proof. The status of Dehn's lemma remained in doubt until Christos Papakyriakopoulos (1957, 1957b) proved it using his "tower construction". He also generalized the theorem to the loop theorem and sphere theorem.".
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- Dehns_lemma wikiPageLength "5191".
- Dehns_lemma wikiPageOutDegree "19".
- Dehns_lemma wikiPageRevisionID "670839201".
- Dehns_lemma wikiPageWikiLink 3-manifold.
- Dehns_lemma wikiPageWikiLink American_Mathematical_Society.
- Dehns_lemma wikiPageWikiLink Annals_of_Mathematics.
- Dehns_lemma wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Dehns_lemma wikiPageWikiLink Category:3-manifolds.
- Dehns_lemma wikiPageWikiLink Category:Lemmas.
- Dehns_lemma wikiPageWikiLink Covering_space.
- Dehns_lemma wikiPageWikiLink Disk_(mathematics).
- Dehns_lemma wikiPageWikiLink Embedding.
- Dehns_lemma wikiPageWikiLink German_Mathematical_Society.
- Dehns_lemma wikiPageWikiLink Jahresbericht_der_Deutschen_Mathematiker-Vereinigung.
- Dehns_lemma wikiPageWikiLink Loop_theorem.
- Dehns_lemma wikiPageWikiLink Mathematics.
- Dehns_lemma wikiPageWikiLink Mathematische_Annalen.
- Dehns_lemma wikiPageWikiLink Piecewise-linear_map.
- Dehns_lemma wikiPageWikiLink Piecewise_linear_function.
- Dehns_lemma wikiPageWikiLink Proceedings_of_the_National_Academy_of_Sciences_of_the_United_States_of_America.
- Dehns_lemma wikiPageWikiLink Regular_neighborhood.
- Dehns_lemma wikiPageWikiLink Sphere_theorem_(3-manifolds).
- Dehns_lemma wikiPageWikiLink Tower_(mathematics).
- Dehns_lemma wikiPageWikiLink Yale_University_Press.
- Dehns_lemma wikiPageWikiLinkText "Dehn's lemma".
- Dehns_lemma author1Link "Arnold S. Shapiro".
- Dehns_lemma author2Link "J.H.C. Whitehead".
- Dehns_lemma authorlink "Christos Papakyriakopoulos".
- Dehns_lemma authorlink "Hellmuth Kneser".
- Dehns_lemma authorlink "Max Dehn".
- Dehns_lemma first "Arnold".
- Dehns_lemma first "Christos".
- Dehns_lemma first "Hellmuth".
- Dehns_lemma first "J.H.C.".
- Dehns_lemma first "Max".
- Dehns_lemma hasPhotoCollection Dehns_lemma.
- Dehns_lemma last "Dehn".
- Dehns_lemma last "Kneser".
- Dehns_lemma last "Papakyriakopoulos".
- Dehns_lemma last "Shapiro".
- Dehns_lemma last "Whitehead".
- Dehns_lemma loc "page 260".
- Dehns_lemma wikiPageUsesTemplate Template:Citation.
- Dehns_lemma wikiPageUsesTemplate Template:Cite.
- Dehns_lemma wikiPageUsesTemplate Template:Harvs.
- Dehns_lemma year "1910".
- Dehns_lemma year "1929".
- Dehns_lemma year "1957".
- Dehns_lemma year "1958".
- Dehns_lemma subject Category:3-manifolds.
- Dehns_lemma subject Category:Lemmas.
- Dehns_lemma comment "In mathematics Dehn's lemma asserts that a piecewise-linear map of a disk into a 3-manifold, with the map's singularity set in the disc's interior, implies the existence of another piecewise-linear map of the disc which is an embedding and is identical to the original on the boundary of the disc.This theorem was thought to be proven by Max Dehn (1910), but Hellmuth Kneser (1929, page 260) found a gap in the proof.".
- Dehns_lemma label "Dehn's lemma".
- Dehns_lemma sameAs Lema_de_Dehn.
- Dehns_lemma sameAs Dehns_Lemma.
- Dehns_lemma sameAs Lema_de_Dehn.
- Dehns_lemma sameAs Lemme_de_Dehn.
- Dehns_lemma sameAs m.0bz73k.
- Dehns_lemma sameAs Q3229337.
- Dehns_lemma sameAs Q3229337.
- Dehns_lemma wasDerivedFrom Dehns_lemmaoldid=670839201.
- Dehns_lemma isPrimaryTopicOf Dehns_lemma.