Matches in DBpedia 2014 for { ?s ?p 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.. }
Showing items 1 to 1 of
1
with 100 items per page.
- 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.".