On the metrization of PIGO spaces

DOI10.1016/j.topol.2017.12.014zbMath1383.54029OpenAlexW2771307088MaRDI QIDQ683979

John E. Porter

Publication date: 9 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.12.014

zbMATH Keywords

metrizableGO-spacesproperty (A)\(\sigma\)-closed-discrete dense set\(\sigma\)-NSR pair-base\(NZ(\omega)\)-property\(NZ\)-propertyNSR pair-basepair-basepair-familyPIGOproperty (B)

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological characterizations of particular spaces (54F65) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Base properties of topological spaces (54D70)

Related Items (3)

A study on \(D\)-spaces and the metrizability of compact spaces with property (\(\sigma \)-A) ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Compactifications and remainders of monotonically normal spaces
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• Some generalizations of metric spaces
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• A note on monotonically metacompact spaces
• Spaces with bases satisfying certain order and intersection properties
• The NZ property and \(D\)-spaces
• On the Product of Metacompact Spaces I. Connections with Hereditary Compactness
• Spaces with bases of countable rank
• Perfect images of generalized ordered spaces
• Nikiel's conjecture

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