A loop theorem/Dehn’s lemma for some orbifolds

Barnard, Josh

doi:10.2140/agt.2011.11.2815

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A loop theorem/Dehn's lemma for some orbifolds

Josh Barnard

Algebraic & Geometric Topology 11 (2011) 2815–2827

DOI: 10.2140/agt.2011.11.2815

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

Mathematical Subject Classification 2010

Primary: 57M35

References

Publication

Received: 18 May 2011

Revised: 23 August 2011

Accepted: 7 September 2011

Published: 7 October 2011

Authors

Josh Barnard
Department of Mathematics & Statistics University of South Alabama ILB 325 307 North University Blvd Mobile AL 36688 USA
http://www.southalabama.edu/mathstat/personal\_pages/jbarnard/

Volume 11, issue 5 (2011)