Contents Online
Mathematical Research Letters
Volume 25 (2018)
Number 6
Dehn’s Lemma for immersed loops
Pages: 1827 – 1836
DOI: https://dx.doi.org/10.4310/MRL.2018.v25.n6.a6
Authors
Abstract
Suppose $\delta$ is a generic immersed closed curve in the boundary of a $3$-manifold $M$ and $\delta$ is null-homotopic in $M$. Then $\delta$ can be displaced by a height function in a collar of the boundary of $M$ so that the resulting simple closed curve in the collar bounds a disk in $M$.
Received 3 August 2017
Accepted 12 May 2018
Published 25 March 2019