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n-ANR's for Certain Normal Spaces

Published online by Cambridge University Press:  20 November 2018

Vincent J. Mancuso
Vincent J. Mancuso*
Affiliation:
St. John's University
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For various classes Q of metric spaces, there are several well-known results characterizing the local n-connectivity of a metric space in terms of n-ANR(Q)'s. Specifically, we have in mind the results of Kuratowski (13, p. 265) and Kodama (10, p. 79). The main purpose of this paper will be to obtain similar results along these lines for non-metric classes Q. In the last part of the paper we specify Q to be the class of totally normal spaces and characterize the local n-connectivity of an n-dimensional separable metric space in terms of ANR(Q)'s.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 19 , 1967 , pp. 629 - 635
Copyright
Copyright © Canadian Mathematical Society 1967

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