\(D\)-spaces and thick covers

DOI10.1016/j.topol.2011.06.053zbMath1244.54056OpenAlexW2041493944MaRDI QIDQ719516

Hongfeng Guo, Heikki J. K. Junnila

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.053

zbMATH Keywords

\(D\)-space\(t\)-metrizableneighbornetthick cover

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (10)

On the \(D\)-property of certain products ⋮ Countably compact spaces with \(n\)-in-countable weak bases are metrizable ⋮ Box and nabla products that are \(D\)-spaces ⋮ On monotone stability ⋮ Predictable network, monotonic monolithicity and \(D\)-spaces ⋮ 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 ⋮ A study of \(\gamma \)-metrizable spaces ⋮ Pressing Down Lemma for λ-trees and its applications

Cites Work

• Some generalizations of metric spaces
• The \(D\)-property of some Lindelöf spaces and related conclusions
• Monolithic spaces and \(D\)-spaces revisited
• On spaces which are linearly \(D\)
• Closure-preserving covers by small sets
• Neighbornets
• Some properties of the Sorgenfrey line and related spaces
• About \(\mathbf{DK}\)-like spaces and some applications.
• \(D\)-spaces and covering properties
• A note on D-spaces and infinite unions
• On finite unions of certain \(D\)-spaces
• Some remarks on Eberlein compacts
• A theorem on the weak topology of C(X) for compact scattered X
• 𝐷-spaces and finite unions
• Hereditary D-property of function spaces over compacta
• A note on \(D\)-spaces
• D-spaces
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