The \(D\)-property of some Lindelöf spaces and related conclusions

DOI10.1016/J.TOPOL.2006.06.003zbMath1110.54014OpenAlexW2078302866MaRDI QIDQ864467

Liang-Xue Peng

Publication date: 9 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2006.06.003

zbMATH Keywords

Lindelöf spaceweak base\(\theta\)-refinable space\(D\)-space, \({\mathcal C}_p(\tau_\omega)\)

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (13)

A note on transitively D-spaces ⋮ A note on topological groups and their remainders ⋮ A note on D-spaces and infinite unions ⋮ A note on \(D\)-property, monotone monolithicity and \(\sigma\)-product ⋮ Existence of nice weak bases implies the \(D\)-property ⋮ Finite unions of \(D\)-spaces and applications of nearly good relation ⋮ The D-property of monotone covering properties and related conclusions ⋮ The \(D\)-property of finite unions of \(t\)-metrizable spaces and certain function spaces ⋮ On finite unions of certain \(D\)-spaces ⋮ \(D\)-spaces and thick covers ⋮ \(D\)-spaces, \(aD\)-spaces and finite unions ⋮ Finite unions of weak \(\overline \theta\)-refinable spaces and products of ordinals ⋮ On spaces which are \(D\), linearly \(D\) and transitively \(D\)

Cites Work

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• On weak bases
• On a Question of Archangelskij Concerning Lindelof Spaces with Countable Pseudocharacter
• Simultaneous linear extension of Continuous functions
• 𝐷-spaces and finite unions
• MAPPINGS AND SPACES

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