Strong domination by countable and second countable spaces

DOI10.1016/j.topol.2017.06.011zbMath1381.54018OpenAlexW2693316644MaRDI QIDQ2401570

Vladimir V. Tkachuk

Publication date: 4 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.topol.2017.06.011

zbMATH Keywords

function spaceLindelöf \(\Sigma\)-spacestrong dominationMartin's Axiomcountable spacecomplement of the diagonal

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (6)

Covering properties of Cp(X) and Ck(X) ⋮ Closed discrete selections for sequences of open sets in function spaces ⋮ Some applications of discrete selectivity and Banakh property in function spaces ⋮ Two point-picking games derived from a property of function spaces ⋮ Open discrete shrinkings in function spaces ⋮ Limited information strategies and discrete selectivity

Cites Work

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• Domination by a Polish space of the complement of the diagonal of \(X\) implies that \(X\) is cosmic
• Domination by metric spaces
• Domination by second countable spaces and Lindelöf \(\Sigma \)-property
• Many Eberlein-Grothendieck spaces have no non-trivial convergent sequences
• Espaces de Banachs faiblement K-analytiques
• The number of \(K\)-determination of topological spaces
• A monotone version of the Sokolov property and monotone retractability in function spaces
• A \(C_p\)-theory problem book. Compactness in function spaces
• If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• On the weak and pointwise topologies in function spaces. II.
• A \(C_p\)-theory problem book. Special features of function spaces
• A \(C_p\)-theory problem book. Topological and function spaces

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