Electronic Version 19 (1994), 63-77

John W. Carlson

Locally finite nearness spaces and uniformly continuous maps are shown to form a bireflective subcategory of NEAR. The locally finite nearness structure generated by the collection of locally 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 paracompact subspace of the Wallman compactification containing the original space.

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volume 19: table of contents
topology proceedings Electronic Version