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On spines of 3-manifolds with boundary

Part of: Topological manifolds

Published online by Cambridge University Press:  09 April 2009

C. McA. Gordon
C. McA. Gordon
Affiliation:
Department of Mathematics, The University of Texas at Austin, Austin, TX 78712-1082, U.S.A.
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Abstract

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We give a simple necessary and sufficient condition for the inclusion map of a subpolyhedron into a compact 3-manifold with non-empty boundary to be a homotopy equivalence.

MSC classification

Secondary: 57N10: Topology of general $3$-manifolds
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 55 , Issue 1 , August 1993 , pp. 132 - 136
Copyright
Copyright © Australian Mathematical Society 1993

References

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