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The bicompletion of the Hausdorff quasi-uniformity

✍ Scribed by Hans-Peter A. Künzi; S. Romaguera; M.A. Sánchez Granero

Book ID
108286580
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
294 KB
Volume
156
Category
Article
ISSN
0166-8641

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Well-quasi-ordering and the Hausdorff qu
Well-quasi-ordering and the Hausdorff quasi-uniformity
✍ Hans-Peter A. Künzi; Salvador Romaguera 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 863 KB

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