Handlebody complements in the -sphere: a remark on a theorem of Fox
Author: Martin Scharlemann
Journal: Proc. Amer. Math. Soc. 115 (1992), 1115-1117
MSC: Primary 57M25; Secondary 57Q35, 57R40
MathSciNet review: 1116272
Abstract: Let be a compact -dimensional submanifold of , and be a collection of disjoint simple closed curves on . We give necessary and sufficient conditions (one extrinsic, one intrinsic) for to have an imbedding in so that is a union of handlebodies, and contains a complete collection of meridia for these handlebodies.