\(D\)-complete extensions of quasi-uniform spaces

DOI10.1007/BF01873968zbMath0798.54035MaRDI QIDQ1320465

Ákos Császár

Publication date: 8 November 1994

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

quasi-uniformityquasi-uniform spacestrict extension\(D\)-Cauchy filterloose extensiontrace filter system

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15)

Related Items (5)

An asymmetric approach to filters in strict extensions and quotients ⋮ Short notes on quasi-uniform spaces. II: Doubly uniformly strict extensions ⋮ Bibliography on bitopological spaces. III ⋮ Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion ⋮ Bicompletion of Lowen fuzzy quasi-uniform spaces.

Cites Work

• A concept of completeness of quasi-uniform spaces
• Quasi-uniformization of topological spaces
• Uniformly regular quasi-uniformities
• On completeness in quasi-metric spaces
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