# Dehn’s lemma

The Dehn’s lemma states that if a continuous map from a 2-disk (http://planetmath.org/StandardNBall) 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 $g|\partial$ and $f|\partial$ are equal.

Title Dehn’s lemma DehnsLemma 2013-03-22 15:45:32 2013-03-22 15:45:32 juanman (12619) juanman (12619) 11 juanman (12619) Theorem msc 57M35 Dehn’s lemma 3Manifolds