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Transitive Quasi-Uniformities and Topogenous Orders

✍ Scribed by Á. Császár

Book ID
110240503
Publisher
Akadmiai Kiad
Year
2000
Tongue
English
Weight
197 KB
Volume
86
Category
Article
ISSN
1588-2632

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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