The Katětov construction modified for a \(T_0\)-quasi-metric space

DOI10.1016/j.topol.2011.11.001zbMath1242.54012OpenAlexW2061985015MaRDI QIDQ409506

Hans-Peter A. Künzi, Manuel Sanchis

Publication date: 13 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.11.001

zbMATH Keywords

\(T_0\)-quasi-metric space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Bitopologies (54E55) Separability of topological spaces (54D65)

Related Items

The Katětov constructions on asymmetric spaces ⋮ An isomorphism of the Wallman and Čech-Stone compactifications ⋮ The vector lattice structure on the Isbell-convex hull of an asymmetrically normed real vector space ⋮ Normality in terms of distances and contractions ⋮ Extremal function pairs in asymmetric normed linear spaces ⋮ Endpoints in \(T_0\)-quasi-metric spaces ⋮ A construction of the \(B\)-completion of a \(T_0\)-quasi-metric space ⋮ Supseparability of the space of minimal function pairs ⋮ Addendum to ‘The Katětov construction modified for a T₀-quasi-metric space’ ⋮ Endpoints in \(T_0\)-quasimetric spaces. II. ⋮ Gated sets in quasi-metric spaces ⋮ On the gluing of quasi-pseudometric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approaching metric domains
• The Isbell-hull of a di-space
• On the geometry of Urysohn's universal metric space
• Urysohn universal space, its development and Hausdorff's approach
• A double completion for an arbitrary \(T_0\)-quasi-metric space
• Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: A note on combinatorial properties of metric spaces
• C-complete quasi-uniform spaces
• On strongly quasi-metrizable spaces