GO-spaces with $\sigma $-closed discrete dense subsets

DOI10.1090/S0002-9939-00-05582-9zbMath0954.54013OpenAlexW1543958448MaRDI QIDQ4523218

Robert W. Heath, David J. Lutzer, Harold R. Bennett

Publication date: 8 January 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05582-9

zbMATH Keywords

linearly ordered space\(G_\delta\)-diagonalperfectmetrizationSouslin linegeneralized ordered space\(\sigma\)-discrete dense subsetweak monotone ortho-base

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items

Base-cover paracompactness, Metrizably fibered generalized ordered spaces, On a question of Maarten Maurice, Compact \(G_{\delta}\) sets, The \(\beta\)-space property in monotonically normal spaces and go-spaces, Continuous separating families in ordered spaces and strong base conditions

Cites Work

• Generalized ordered spaces with capacities
• On dense subspaces of generalized ordered spaces
• Subparacompactness in Cartesian products of generalized ordered topological spaces
• First Countable Spaces that Have Special Pseudo-Bases
• Extensions of perfect GO-spaces and $\sigma $-discrete dense sets
• Perfectly normal non-metrizable non-Archimedean spaces are generalized Souslin lines
• On quasi-developable spaces
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