A decomposition into homeomorphic handlebodies with naturally equivalent involutions

Downing [6] extended the well-known result that any closed 3-manifold X contains a handlebody H such that c1(X−H) is homeomorphic to H in the case where X is a compact 3-manifold with nonvoid boundary. We show that if X is a compact 3-manifold with involution h having 2-dimensional fixed point set,...

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Bibliographic Details
Main Author: Roger B. Nelson
Format: Article
Language:English
Published: Hindawi Limited 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000059