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An Ultrafilter Completion of a Nearness Space
Published online by Cambridge University Press: 20 November 2018
Abstract
An ultrafilter completion is constructed for a nearness space. It is shown to preserve the Tl separation axiom. Characterizing conditions are given for it to be topological or for its topology to be compact. It is shown to have the simple extension topology and for a given Hausdorff space a compatible nearness structure is found for which its ultrafilter completion is homeomorphic to the Katetov H-closed extension.
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- Copyright © Canadian Mathematical Society 1981
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