Extensions of \(T_0\)-quasi-metrics

DOI10.1007/s10474-017-0753-zzbMath1399.54062OpenAlexW2754517428MaRDI QIDQ681540

Hans-Peter A. Künzi, Filiz Yıldız

Publication date: 12 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10474-017-0753-z

zbMATH Keywords

\(T_0\)-quasi-metricquasi-pseudometricpartially ordered metric space\(m\)-splittingproducing \(T_0\)-quasi-metricspecialization partial preorderuniquely producing \(T_0\)-quasi-metric

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Extension of maps (54C20)

Related Items (4)

Locally symmetrically connected T₀-quasi-metric spaces ⋮ Symmetrically connected and antisymmetrically connected \(T_0\)-quasi-metric extensions ⋮ Unnamed Item ⋮ Certain observations on antisymmetric \(T_0\)-quasi-metric spaces

Cites Work

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• Partially ordered metric spaces produced by \(T_{0}\)-quasi-metrics
• On the domain of formal balls of the Sorgenfrey quasi-metric space
• A functional representation of almost isometries
• Splitting metrics by \(T_0\)-quasi-metrics
• Bicompletion of metrically generated constructs
• A double completion for an arbitrary \(T_0\)-quasi-metric space
• Some advances in the theory of quasi-pseudometric type spaces
• Convexity structures in \(T_{0}\)-quasi-metric spaces
• On Quasi-Uniformities in Hyperspaces
• A study on quasi-pseudometrics

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