Domination by second countable spaces and Lindelöf \(\Sigma \)-property

DOI10.1016/J.TOPOL.2010.10.014zbMath1213.54033OpenAlexW2084055109MaRDI QIDQ617732

Bernardo Cascales, José Orihuela, Vladimir V. Tkachuk

Publication date: 13 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.10.014

zbMATH Keywords

ZFCtopologyinternal set theory

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (24)

If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable ⋮ Spaces \(C(X)\) with ordered bases ⋮ Compact spaces with a \(\mathbb{P}\)-diagonal ⋮ Domination by a Polish space of the complement of the diagonal of \(X\) implies that \(X\) is cosmic ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Strong domination by countable and second countable spaces ⋮ Metrizable-like locally convex topologies on \(C(X)\) ⋮ Unnamed Item ⋮ Domination by metric spaces ⋮ The Tukey order and subsets of \(\omega_1\) ⋮ The number of \(K\)-determination of topological spaces ⋮ Unnamed Item ⋮ Note on reflexivity of some spaces of continuous integer-valued functions ⋮ On topological properties of Fréchet locally convex spaces with the weak topology ⋮ Domination in products ⋮ Some applications of discrete selectivity and Banakh property in function spaces ⋮ Discrete reflexivity and complements of the diagonal ⋮ Domination by countably compact spaces and hyperspaces ⋮ Vietoris topology on spaces dominated by second countable ones ⋮ Compact covers and function spaces ⋮ Compact spaces with a P-base ⋮ Spaces with an \(M\)-diagonal ⋮ DOMINATION CONDITIONS UNDER WHICH A COMPACT SPACE IS METRISABLE ⋮ On topological spaces and topological groups with certain local countable networks

Cites Work

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• Montel (DF)-Spaces, Sequential (LM)-Spaces and the Strongest Locally Convex Topology
• Pointwise Compactness in Spaces of Continuous Functions
• Convergent Free Sequences in Compact Spaces
• On a Theorem of Arhangel'skiĭ Concerning Lindelöf P-Spaces
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