The bicompletion of the Hausdorff quasi-uniformity

DOI10.1016/j.topol.2009.04.002zbMath1168.54011arXiv0809.4964OpenAlexW2052628283MaRDI QIDQ1030192

Hans-Peter A. Künzi, Miguel Angel Sánchez-Granero, Salvador Romaguera

Publication date: 1 July 2009

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

Full work available at URL: https://arxiv.org/abs/0809.4964

zbMATH Keywords

uniform spaceCauchy filterbicompletionquasi-uniform spaceHausdorff quasi-uniformitydouble cluster pointdoubly stablestable filter

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Bitopologies (54E55)

Related Items (3)

\(T_0\) *-compactification in the hyperspace ⋮ The scale of a quasi-uniform space ⋮ More about complements of quasi-uniformities

Cites Work

• Stability in quasi-uniform spaces and the inverse problem
• Supercomplete spaces
• C-complete quasi-uniform spaces
• Well-quasi-ordering and the Hausdorff quasi-uniformity
• Uniformly open mappings and uniform embeddings of function spaces
• Completeness of hyperspaces on topological groups
• The relationship between the Vietoris topology and the Hausdorff quasi-uniformity
• Supercomplete topological spaces
• Weak completeness of the Bourbaki quasi-uniformity
• On supercomplete uniform spaces V: Tamano's product problem
• On Quasi-Uniformities in Hyperspaces
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