#### Volume 11, issue 5 (2011)

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 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
A loop theorem/Dehn's lemma for some orbifolds

### Josh Barnard

Algebraic & Geometric Topology 11 (2011) 2815–2827
##### Abstract

The equivariant loop theorem implies the existence of a loop theorem/Dehn’s lemma for $3$–orbifolds that are good (covered by a $3$–manifold). In this note we prove a loop theorem/Dehn’s lemma for any locally orientable $3$–orbifold (good or bad) whose singular set is labeled with powers of 2. The proof is modeled on the standard tower construction.

##### Keywords
loop Theorem, Dehn's Lemma, $3$–orbifold
Primary: 57M35