Splitting ultra-metrics by \(T_{0}\)-ultra-quasi-metrics

DOI10.1016/j.topol.2018.03.003zbMath1390.54030OpenAlexW2794028246WikidataQ130139737 ScholiaQ130139737MaRDI QIDQ1744597

Francky Mathieu Solofomananirina Tiantsoa, Hans-Peter A. Künzi

Publication date: 23 April 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2018.03.003

zbMATH Keywords

splittingpartial orderGO-spaceultra-metric spaceSzpilrajn's theoremquasi-pseudometric spaceinterval conditionproducingRobinsonian

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05)

Related Items (5)

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

Cites Work

• Unnamed Item
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• Partially ordered metric spaces produced by \(T_{0}\)-quasi-metrics
• An optimal algorithm to recognize Robinsonian dissimilarities
• Splitting metrics by \(T_0\)-quasi-metrics
• Minimal superior ultrametrics under order constraint
• Monotone metric spaces
• Chain development of metric compacts
• Ordnungsfähigkeit total-diskontinuierlicher Räume

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