Loop theorem
id:
loop-theorem-297-17100576
title:
Loop theorem
text:
In mathematics, in the topology of 3-manifolds, the loop theorem is a generalization of Dehn's lemma. The loop theorem was first proven by Christos Papakyriakopoulos in 1956, along with Dehn's lemma and the Sphere theorem. A simple and useful version of the loop theorem states that if for some 3-dimensional manifold M with boundary ∂M there is a map with f | ∂ D 2 not nullhomotopic in ∂ M , then there is an embedding with the same property. The following version of the loop theorem, due to John
brand slug:
wiki
category slug:
encyclopedia
description:
Generalization of Dehn's lemma in the topology of 3-manifolds
original url:
https://en.wikipedia.org/wiki/Loop_theorem
date created:
date modified:
2023-05-08T09:34:41Z
main entity:
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image:
fields total:
13
integrity:
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