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

DOI:
https://doi.org/10.1090/S0002-9939-99-04860-1

Published electronically:
April 23, 1999

MathSciNet review:
1600090

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Abstract | References | Similar Articles | Additional Information

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 of dimension is a topological manifold if and only if the base space of every point in 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

Email:
jywu@math.ccu.edu.tw

DOI:
https://doi.org/10.1090/S0002-9939-99-04860-1

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