The scale of a quasi-uniform space

DOI10.1007/s10474-010-9131-9zbMath1274.54085OpenAlexW1995772290MaRDI QIDQ1945258

Hans-Peter A. Künzi, Olivier Olela Otafudu

Publication date: 5 April 2013

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

Full work available at URL: http://hdl.handle.net/11427/19067

zbMATH Keywords

totally boundedbicompleteHausdorff quasi-uniformityleft-sided scaleprefilter spacescale of a uniform spacetwo-sided scale

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Uniform structures and generalizations (54E15) Bitopologies (54E55)

Related Items (4)

\(T_0\) *-compactification in the hyperspace ⋮ On the completion monad via the Yoneda embedding in quasi-uniform spaces ⋮ Some aspects of quasi-uniform box products ⋮ The \(\delta\)-completion of a quasi-pseudometric space

Cites Work

• Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion
• Compact and precompact sets in asymmetric locally convex spaces
• The bicompletion of the Hausdorff quasi-uniformity
• Continuity spaces: Reconciling domains and metric spaces
• On a differential structure for the group of diffeomorphisms
• On the scale of a uniform space
• Properties of the normed cone of semi-Lipschitz functions
• Connectedness in the scale of uniform subspaces of R
• A stability criterion for general systems
• Connectedness in the scale of a uniform space
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