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Realcompact spaces and regular σ -frames

Published online by Cambridge University Press:  24 October 2008

Christopher R. A. Gilmour
Christopher R. A. Gilmour
Affiliation:
University of Cape Town, South Africa
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Abstract

We show that there is an adjoint dual equivalence between realcompact Alexandroff spaces and the Alexandroff σ-frames. This gives a corresponding adjoint duality for realcompact Tychonoff spaces. Consequently we characterize lattice theoretically the cozero-sets of a topological space.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 1 , July 1984 , pp. 73 - 79
Copyright
Copyright © Cambridge Philosophical Society 1984

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