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Quasicompactness and functionally Hausdorff spaces

Published online by Cambridge University Press:  09 April 2009

A. J. D'Aristotle
A. J. D'Aristotle
Affiliation:
Brooklyn College of the City University of New York State University College at Geneseo U.S.A.
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In [1] Van Est and Freudenthal introduced and studied several new separation axioms for a topological space. One of these was the pτsq axiom: Given distinct points p and q of X, there exists a real continuous function f on X with f(p) ≠ f(q). They observed that the pτsq axiom lies strictly between the Hausdorff and completely regular axioms, and that it neither implies nor is implied by the T3 axiom.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 3 , May 1973 , pp. 319 - 324
Copyright
Copyright © Australian Mathematical Society 1973

References

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