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Nearness and quasi-uniform structures

✍ Scribed by John W. Carlson

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
597 KB
Volume
15
Category
Article
ISSN
0166-8641

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Let (X.U) be a quasi-uniform space and M, its Hausdorff quasi-uniformity defined on the collection PO(X) of all nonempty subsets of X. We show that (PO(X). U,) is compact if and only if (X.U) is compact and (X,,U-'IX,,) is hereditarily precompact where X,,, = {y E X: y is minimal in the (specializa