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Natural Covers and R-Quotient Maps

Published online by Cambridge University Press:  20 November 2018

S. M. Karnik
Affiliation:
Department of Mathematics, University of Alberta, Edmonton Alberta Canada
S. Willard
Affiliation:
Department of Mathematics, University of Alberta, Edmonton Alberta Canada
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Abstract

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We extend the comprehensive treatment of k-spaces and sequential spaces provided by Franklin's refined notion of a natural cover to kR-spaces and sR-spaces. For this purpose, an apparently unstudied class of maps of topological spaces, the class of R-quotient maps, is introduced.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1982

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