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Resolving zero-dimensional singularities in generalized manifolds

Published online by Cambridge University Press:  24 October 2008

J. L. Bryant  and
R. C. Lacher
J. L. Bryant
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306, U.S.A.
R. C. Lacher
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306, U.S.A.
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Extract

A generalized m-manifold is a euclidean neighbourhood retract X that is a homol-ogy m-manifold, i.e. for which H*(X, X–x;Z) = H*(Rm, Rm–0;Z) for each point x of X. In a generalized m-manifold X, a pointy is called singular, or a singularity of X, if p has no neighbourhood homeomorphic to Rm. We shall denote the set of singular points of X by S(X).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 3 , May 1978 , pp. 403 - 413
Copyright
Copyright © Cambridge Philosophical Society 1978

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