Topology Proceedings Document # baaa-03
topology proceedings
Electronic Version 16 (1991), 17-28

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Metacompact nearness spaces

John W. Carlson

Metacompact nearness spaces and nearness maps are shown to form a bireflective subcategory of NEAR. The metacompact nearness structure generated by the collection of point finite open covers of a symmetric topological space is studied. Under suitable conditions, the completion of such a space is shown to be the smallest metacompact subspace of the Wallman compactification containing the original space.

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Copyright © 1998 Auburn University and Topology Atlas | Date published electronically: January 07, 1998