Topological characterizations of \(\omega{}_{\mu{}}\)-metrizable spaces

DOI10.1016/0166-8641(92)90102-6zbMath0765.54018OpenAlexW2065195950MaRDI QIDQ1203844

Hans-Christian Reichel, Peter J. Nyikos

Publication date: 18 February 1993

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

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90102-6

zbMATH Keywords

generalized metric spacesGO-spaces\(\omega_ \mu\)-metrizabilityGO-spaces with \(\omega_ \mu\)-discrete dense subspaceslinearly stratifiable spaceslinearly uniformizable with uncountable uniform weightnonarchimedean topological spacesnonarchimedeanly metrizable spacesstrong suborderabilitystrongly zero-dimensional metric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Uniform structures and generalizations (54E15) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (3)

Perfect pre-images of \(\omega _ 1\) and the PFA ⋮ Generalized Polish spaces at regular uncountable cardinals ⋮ Unnamed Item

Cites Work

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• Linearly stratifiable spaces
• Non-Archimedean Metrics in Topology
• All Topologies Come From Generalized Metrics
• Topologically orderable groups
• Extensions of metrization theorems to higher cardinality
• On uniform spaces with linearly ordered bases II ($ω_μ$-metric spaces)
• On a problem of Sikorski
• Remarks on $ω_μ$-additive spaces
• Remarks on some topological spaces of high power

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