Uniformly regular quasi-uniformities

DOI10.1016/0166-8641(90)90027-YzbMath0707.54021MaRDI QIDQ919650

Worthen Hunsaker, Peter Fletcher

Publication date: 1990

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

completenessuniform regularityMichael linecompact quasi-uniformitycontinuous quasi-metricLebesgue quasi-uniformityorthocompactnesspoint symmetric uniformly regular quasi- uniform spacequiet quasi-uniform spacesemistratifiability

Mathematics Subject Classification ID

Compactness (54D30) Baire category, Baire spaces (54E52) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (11)

Hausdorff completions of quasi-uniform spaces ⋮ Nonstandard methods of completing quasi-uniform spaces ⋮ A regular space without a uniformly regular quasi-uniformity ⋮ Short notes on quasi-uniform spaces. I: Uniform local symmetry ⋮ Short notes on quasi-uniform spaces. II: Doubly uniformly strict extensions ⋮ Short notes on quasi-uniform spaces. III: Co-regularity ⋮ Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion ⋮ Symmetry conditions in terms of open sets ⋮ Completeness using pairs of filters ⋮ On hereditary precompactness and completeness in quasi-uniform spaces ⋮ \(D\)-complete extensions of quasi-uniform spaces

Cites Work

• Unnamed Item
• A concept of completeness of quasi-uniform spaces
• Extension properties induced by complete quasi-uniformities
• On completeness in quasi-metric spaces
• Completeness using pairs of filters
• Neighbornets
• C-complete quasi-uniform spaces
• A Noncompletely Regular Quiet Quasi-Uniformity
• Extensions of quasi-uniformities
• Shorter Notes: A Regular Space Which is Not Completely Regular
• The product of a normal space and a metric space need not be normal
• Completeness in quasi-uniform spaces

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