On spaces with a \(G_\delta\)-basis

DOI10.1007/BF01235379zbMath0468.54018OpenAlexW2997616811MaRDI QIDQ1156384

Harald Brandenburg

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235379

zbMATH Keywords

\(D\)-complete regularity\(D\)-normality\(D\)-regularity\(G_\delta\)-basisanalogue of Urysohn metrization theoremdevelopable \(T_1\)-spacesLindelöf \(R_0\)-spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Moore spaces (54E30)

Related Items (4)

Some Characterizations of Developable Spaces ⋮ A unified approach to continuous and certain non-continuous functions II ⋮ An extension theorem for D-normal spaces ⋮ On D-paracompact spaces

Cites Work

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• On p-spaces and \(w\Delta\)-spaces
• Indexed Systems of Neighborhoods for General Topological Spaces
• Developability and Some New Regularity Axioms
• Separating Closed Sets by Continuous Mappings into Developable Spaces
• The Category of D-Completely Regular Spaces is Simple
• Properties of Weak θ   -Refinable Spaces
• Upper Semicontinuous Decompositions of Developable Spaces
• On Subparacompact Spaces
• Moore Spaces, Semi-Metric Spaces and Continuous Mappings Connected with Them
• Metrization of Topological Spaces

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