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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A generalization of a theorem of Edwards

Author: Jyh-Yang Wu
Journal: Proc. Amer. Math. Soc. 127 (1999), 3119-3123
MSC (1991): Primary 57N80, 57P05
Published electronically: April 23, 1999
MathSciNet review: 1600090
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Abstract: In this note we extend a theorem of Edwards on the characterization of topological manifolds for polyhedra to a more general class of stratified spaces. We show that a cone-like space $X$ of dimension $n\ge 3$ is a topological manifold if and only if the base space $B_{p}$ of every point $p$ in $X$ is a simply connected cone-like sphere.

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Additional Information

Jyh-Yang Wu
Affiliation: Department of Mathematics, National Chung Cheng University, Chia-Yi 621, Taiwan

PII: S 0002-9939(99)04860-1
Received by editor(s): September 28, 1997
Received by editor(s) in revised form: December 15, 1997
Published electronically: April 23, 1999
Additional Notes: The author is partially supported by an NSC grant, Taiwan.
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 1999 American Mathematical Society