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- Dehn's_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 an error. 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.".
- Dehn's_lemma wikiPageID "4362183".
- Dehn's_lemma wikiPageRevisionID "570707609".
- Dehn's_lemma author1Link "Arnold S. Shapiro".
- Dehn's_lemma author2Link "J.H.C. Whitehead".
- Dehn's_lemma authorlink "Christos Papakyriakopoulos".
- Dehn's_lemma authorlink "Hellmuth Kneser".
- Dehn's_lemma authorlink "Max Dehn".
- Dehn's_lemma first "Arnold".
- Dehn's_lemma first "Christos".
- Dehn's_lemma first "Hellmuth".
- Dehn's_lemma first "J.H.C.".
- Dehn's_lemma first "Max".
- Dehn's_lemma hasPhotoCollection Dehn's_lemma.
- Dehn's_lemma last "Dehn".
- Dehn's_lemma last "Kneser".
- Dehn's_lemma last "Papakyriakopoulos".
- Dehn's_lemma last "Shapiro".
- Dehn's_lemma last "Whitehead".
- Dehn's_lemma loc "page 260".
- Dehn's_lemma year "1910".
- Dehn's_lemma year "1929".
- Dehn's_lemma year "1957".
- Dehn's_lemma year "1958".
- Dehn's_lemma subject Category:3-manifolds.
- Dehn's_lemma subject Category:Lemmas.
- Dehn's_lemma type Abstraction100002137.
- Dehn's_lemma type Communication100033020.
- Dehn's_lemma type Lemma106751833.
- Dehn's_lemma type Lemmas.
- Dehn's_lemma type Message106598915.
- Dehn's_lemma type Proposition106750804.
- Dehn's_lemma type Statement106722453.
- Dehn's_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 an error.".
- Dehn's_lemma label "Dehn's lemma".
- Dehn's_lemma label "Dehns Lemma".
- Dehn's_lemma label "Lema de Dehn".
- Dehn's_lemma label "Lemme de Dehn".
- Dehn's_lemma sameAs Dehns_Lemma.
- Dehn's_lemma sameAs Lema_de_Dehn.
- Dehn's_lemma sameAs Lemme_de_Dehn.
- Dehn's_lemma sameAs m.0bz73k.
- Dehn's_lemma sameAs Q3229337.
- Dehn's_lemma sameAs Q3229337.
- Dehn's_lemma sameAs Dehn's_lemma.
- Dehn's_lemma wasDerivedFrom Dehn's_lemma?oldid=570707609.
- Dehn's_lemma isPrimaryTopicOf Dehn's_lemma.