A monotone version of the Sokolov property and monotone retractability in function spaces

DOI10.1016/J.JMAA.2013.10.043zbMath1308.54016OpenAlexW2052430123MaRDI QIDQ2019085

R. Rojas-Hernández, Vladimir V. Tkachuk

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.043

zbMATH Keywords

retractionfunction spaceLindelöf spacenormal spacemonotonically retractable spacemonotonically Sokolov spaceextentcollectionwise normal spacesimple space\(\omega\)-monotone operatorGul'ko spaceLindelöf \(\varSigma\)-spaceSokolov space

Mathematics Subject Classification ID

Function spaces in general topology (54C35)

Related Items (15)

If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable ⋮ Families of continuous retractions and function spaces ⋮ Unnamed Item ⋮ On the class of continuous images of non-commutative Valdivia compacta ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Strong domination by countable and second countable spaces ⋮ Characterizing Corson and Valdivia compact spaces ⋮ Hereditarily monotonically Sokolov spaces have countable network weight ⋮ Every \(\Sigma_{s}\)-product of \(K\)-analytic spaces has the Lindelöf {\(\Sigma\)}-property ⋮ Lindelöf P-spaces need not be Sokolov ⋮ Monotone retractability and retractional skeletons ⋮ Characterization of compact monotonically (\(\omega\)-)monolithic spaces using system of retractions ⋮ On some monotone properties ⋮ A nice subclass of functionally countable spaces ⋮ Unnamed Item

Cites Work

• Monotonically monolithic spaces, Corson compacts, and \(D\)-spaces
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• \(D\)-property, monotone monolithicity and function spaces
• The structure of weakly compact sets in Banach spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• ON THE STRUCTURE OF SPACES OF CONTINUOUS FUNCTIONS AND THEIR COMPLETE PARACOMPACTNESS
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