Hypertopologies on ωμ-metric spaces

DOI10.2298/FIL1713063DzbMath1499.54075OpenAlexW2786180178MaRDI QIDQ5020392

C. Guadagni, Anna Di Concilio

Publication date: 5 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1713063d

zbMATH Keywords

Kuratowski convergenceHausdorff topologyuniform spacestotally ordered abelian groups\(\omega_\mu\)-additive topologies\(\omega_\mu\)-metric spacesBourbaki-Hausdorff uniformityEfremovich lemmauniform equivalence for \(\omega_\mu\)-metricsuniform spaces with linearly ordered bases

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Total orders (06A05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Simultaneous extensions of metrics and ultrametrics of high power ⋮ Topologicality of the Whitney topology on function spaces in the \(\omega_\mu\)-metric framework

Cites Work

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• Totality of uniform structures with linearly ordered base
• The Topology of Ordered Abelian Groups
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