TOPOLOGICAL SPACES WITH A COARSEST COMPATIBLE QUASI-PROXIMITY

Original Articles

TOPOLOGICAL SPACES WITH A COARSEST COMPATIBLE QUASI-PROXIMITY

Published in: Quaestiones Mathematicae
Volume 10 , issue 2 , 1986 , pages: 179–196
DOI: 10.1080/16073606.1986.9631603
Author(s): H.-P.A. Künzi Mathematisches Institut, Switzer1and

Abstract

We characterize and study the class of topological spaces that admit a coarsest quasi-proximity. This class of spaces generalizes the class of locally compact spaces in a natural way. It follows from our results that the two classes coincide in the class of super-sober spaces.

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