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A nontrivial T1-space admitting a unique quasi-proximity

Published online by Cambridge University Press:  18 May 2009

Hans-Peter A. Künzi  and
Stephen Watson
Hans-Peter A. Künzi
Affiliation:
Department of Mathematics, University of Berne, Sldlerstrasse 5, CH-3012 Berne, Switzerland E-mail: kunzi@math-stat.unibe.ch
Stephen Watson
Affiliation:
Department of Mathematics, York University, North York, Ontario, CanadaM3J 1P3 E-mail: stephen.watson@mathstat.yorku.ca.
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Abstract

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We construct a T1-space that is not hereditarily compact, although each of its open sets is the intersection of two compact open sets. The search for such a space was motivated by a problem in the theory of quasi-proximities.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 38 , Issue 2 , May 1996 , pp. 207 - 213
Copyright
Copyright © Glasgow Mathematical Journal Trust 1996

References

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