A generalization of a theorem of Edwards
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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.References
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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
- 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
- © Copyright 1999 American Mathematical Society
- 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
- MathSciNet review: 1600090