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Dehn's lemma (Theorem)

The Dehn's lemma states that if a continuous map from a 2-disk to a 3-manifold $ f\colon D^2\to M$ for which $ f^{-1}f\partial D^2=D^2$, then there exists an embedding $ g\colon D^2\to M$ such that the restrictions $ g\vert\partial$ and $ f\vert\partial$ are equal.



"Dehn's lemma" is owned by juanman.
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See Also: 3-manifold

Other names:  Dehn's lemma
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Cross-references: restrictions, embedding, 3-manifold, continuous map
There are 2 references to this entry.

This is version 8 of Dehn's lemma, born on 2006-03-11, modified 2007-06-24.
Object id is 7713, canonical name is DehnsLemma.
Accessed 1620 times total.

Classification:
AMS MSC: 57M35 (Manifolds and cell complexes :: Low-dimensional topology :: Dehn's lemma, sphere theorem, loop theorem, asphericity)
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