The projective Menger property and an embedding of \(S_{\omega}\) into function spaces

DOI10.1016/J.TOPOL.2017.02.017zbMath1365.54020OpenAlexW2586999775MaRDI QIDQ517122

Masami Sakai

Publication date: 16 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.02.017

zbMATH Keywords

function spaceMenger property\(\omega\)-Whyburn spaceprojectively Menger propertythe sequential fanWhyburn property

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Embedding (54C25)

Related Items (7)

Classification of selectors for sequences of dense sets of \(C_{p}(X)\) ⋮ The functional characterizations of the Rothberger and Menger properties ⋮ A functional characterization of the Hurewicz property ⋮ Further applications of bornological covering properties in function spaces ⋮ Projective versions of the properties in the Scheepers diagram ⋮ On embedding of F-hedgehogs in function spaces ⋮ Remarks on the Menger property of \(C_{p}(X,2)\)

Cites Work

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• Notes on strongly Whyburn spaces

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