\(D\)-property, monotone monolithicity and function spaces

DOI10.1016/J.TOPOL.2012.07.007zbMath1258.54004OpenAlexW1981132129MaRDI QIDQ714740

R. Rojas-Hernández, Ángel Tamariz-Mascarúa

Publication date: 11 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.07.007

zbMATH Keywords

pseudocompact space\(D\)-spaceLindelöf \(\Sigma\)-spacemonotonically monolithic space\(\Sigma_{\kappa}\)-productcontinuous function spacemonotonically \(\kappa\)-monolithic spacemonotonically \(< \kappa\)-monolithic space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Product spaces in general topology (54B10)

Related Items (7)

Unnamed Item ⋮ Monotone pseudobase assignments and Lindelöf \(\Sigma\)-property ⋮ More about Collins-Roscoe property in function spaces ⋮ A note on \(D\)-property, monotone monolithicity and \(\sigma\)-product ⋮ On monotone stability ⋮ On some monotone properties ⋮ A monotone version of the Sokolov property and monotone retractability in function spaces

Cites Work

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• The Collins-Roscoe property and its applications in the theory of function spaces
• Monotonically monolithic spaces, Corson compacts, and \(D\)-spaces
• Monolithic spaces and \(D\)-spaces revisited
• Lindelöf spaces of continuous functions
• Some properties of the Sorgenfrey line and related spaces
• A broader context for monotonically monolithic spaces
• Criteria for Metrisability
• Hereditary D-property of function spaces over compacta
• A note on \(D\)-spaces

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