A construction of the \(B\)-completion of a \(T_0\)-quasi-metric space

DOI10.1016/j.topol.2014.03.017zbMath1297.54054OpenAlexW2087425716MaRDI QIDQ2451995

Hans-Peter A. Künzi

Publication date: 27 May 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.03.017

zbMATH Keywords

balancedinjective hull\(T_0\)-quasi-metric spaceDedekind-MacNeille completionCauchy filter pairDoitchinov completion\(q\)-hyperconvex

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Bitopologies (54E55)

Related Items

Pre-metric spaces along with different types of triangle inequalities

Cites Work

• The Katětov construction modified for a \(T_0\)-quasi-metric space
• The Isbell-hull of a di-space
• Probabilistic metric spaces as enriched categories
• A concept of completeness of quasi-uniform spaces
• 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
• On completeness in quasi-metric spaces
• On tight spans for directed distances
• Endpoints in \(T_0\)-quasimetric spaces. II.
• The \(B\)-completion of a \(T_{0}\)-quasi-metric space
• A solution to the completion problem for quasi-pseudometric spaces
• Six theorems about injective metric spaces
• Tight spans, Isbell completions and semi-tropical modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item