A loop theorem/Dehn's lemma for some orbifolds

作者：Barnard Josh^*

来源：Algebraic and Geometric Topology, 2011, 11(5): 2815-2827.

DOI：10.2140/agt.2011.11.2815

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.

• 出版日期2011