A generalization of a theorem of Edwards

Wu, Jyh-Yang

doi:10.1090/S0002-9939-99-04860-1

A generalization of a theorem of Edwards
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Proc. Amer. Math. Soc. 127 (1999), 3119-3123 Request permission

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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