Lindelöf P-spaces need not be Sokolov

DOI10.1515/ms-2016-0262zbMath1399.54071OpenAlexW2598225843MaRDI QIDQ2986036

Vladimir V. Tkachuk

Publication date: 12 May 2017

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2016-0262

zbMATH Keywords

retractionscattered spacefunction spaceextentLindelöf \(P\)-spaceEberlein compact spaceSokolov space\(\omega \)-modification

Mathematics Subject Classification ID

Counterexamples in general topology (54G20)

Related Items (6)

Every \(\Sigma_{s}\)-product of \(K\)-analytic spaces has the Lindelöf {\(\Sigma\)}-property ⋮ Unnamed Item ⋮ Basic properties of 𝑋 for which the space 𝐶_{𝑝}(𝑋) is distinguished ⋮ A nice subclass of functionally countable spaces ⋮ Countably compact spaces admitting full \(r\)-skeletons are proximal ⋮ Pseudocompact \(\Delta\)-spaces are often scattered

Cites Work

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• Lindelöf spaces of continuous functions
• Frequency spectrum of functional spaces
• A monotone version of the Sokolov property and monotone retractability in function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• Spaces defined by topological games, II
• Some remarks on Eberlein compacts
• Lindelöf property and the iterated continuous function spaces

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