Certain observations on antisymmetric \(T_0\)-quasi-metric spaces

DOI10.1016/j.topol.2021.107915zbMath1490.54020OpenAlexW3211725149MaRDI QIDQ2077298

Filiz Yıldız, Nezakat Javanshir

Publication date: 25 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107915

zbMATH Keywords

Ramsey's theoremultra-quasi-pseudometricantisymmetric pointantisymmetric quasi-metricantisymmetrically connectedmetric complementary graphsymmetric pathsymmetry componentweighted quasi-metric

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Paths and cycles (05C38) Topological spaces and generalizations (closure spaces, etc.) (54A05) Ramsey theory (05D10) Other classical set theory (including functions, relations, and set algebra) (03E20)

Cites Work

• Extensions of \(T_0\)-quasi-metrics
• Asymmetric distances, semidirected networks and majority in Fermat-Weber problems
• Splitting ultra-metrics by \(T_{0}\)-ultra-quasi-metrics
• Symmetrically connected and antisymmetrically connected \(T_0\)-quasi-metric extensions
• Symmetric connectedness in \(T_0\)-quasi-metric spaces
• A study on quasi-pseudometrics
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