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Quasicompactness and functionally Hausdorff spaces
Published online by Cambridge University Press: 09 April 2009
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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.
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- Copyright © Australian Mathematical Society 1973
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