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The semicontinuous quasi-uniformity of a frame, revisited

✍ Scribed by João Ferreira*, Maria; Picado*, Jorge

Book ID
118153286
Publisher
Taylor and Francis Group
Year
2011
Tongue
English
Weight
233 KB
Volume
34
Category
Article
ISSN
1607-3606

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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