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Quasi proximal continuity

Published online by Cambridge University Press:  17 April 2009

Panayotis Th. Lambrinos
Panayotis Th. Lambrinos
Affiliation:
Department of Mathematics, Aristotelian University of Thessaloniki, Thessaloniki, Greece.
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Abstract

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Conditions are given, under which a quasi-proximally continuous function is quasi-uniformly continuous, or a continuous function is quasi-proximally continuous. Thus, basic results on uniform and proximal continuity are extended and some new results are obtained. Three results in the literature are shown to be false.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 1 , August 1973 , pp. 89 - 98
Copyright
Copyright © Australian Mathematical Society 1973

References

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