Completions and compactifications of quasi-uniform spaces

DOI10.1016/S0166-8641(01)00204-8zbMath1001.54023MaRDI QIDQ697620

Salvador Romaguera, Miguel Angel Sánchez-Granero

Publication date: 17 September 2002

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

zbMATH Keywords

quasi-uniformitytotally boundedtransitivebicompletion\(^*\)-compactification\(T_1 \) \(^*\)-half completionlocally fittingpoint symmetric

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15)

Related Items (6)

\(T_0\) *-compactification in the hyperspace ⋮ Symmetry conditions on the coincidence of some notions of quasi-uniform completeness ⋮ Completeness in quasi-uniform spaces ⋮ Completion of continuity spaces with uniformly vanishing asymmetry ⋮ Unnamed Item ⋮ Compactifications of quasi-uniform hyperspaces.

Cites Work

• Some remarks on Doitchinov completeness
• A concept of completeness of quasi-uniform spaces
• Completeness using pairs of filters
• Spaces of continuous functions and quasi-uniform convergence
• On hereditary precompactness and completeness in quasi-uniform spaces
• Bicompleteness of the fine quasi-uniformity
• Compactifications of totally bounded quasi-uniform spaces
• A quasi-uniform characterization of Wallman type compactifications
• The Wallman compactification as a functor
• A Note on Wallman Extendible Functions
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