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A loop theorem/Dehn's lemma for some orbifolds

2011
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Algebraic and Geometric Topology
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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. 57M35 We prove a version of the loop theorem and Dehn's lemma for a certain class of 3orbifolds, namely those which are locally orientable and have

doi:10.2140/agt.2011.11.2815
fatcat:aqui7rdwfbb7nh66cxotuzldqm