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Topological Spaces with a Unique Compatible Quasi-Uniformity

Published online by Cambridge University Press:  20 November 2018

Hans-Peter A. Künzi
Hans-Peter A. Künzi*
Affiliation:
Department of Mathematics, University of Bern Sidlerstr. 5 3012 Bern, Switzerland
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Abstract

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We show that a topological space X admits a unique quasiuniformityif and only if every interior-preserving open collection of X isfinite.

Keywords

Pervin quasi-uniformityhereditarily compactunique quasi-uniformityγ-space54 E 15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 1 , 01 March 1986 , pp. 40 - 43
Copyright
Copyright © Canadian Mathematical Society 1986

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