Domination by metric spaces

DOI10.1016/J.TOPOL.2013.06.014zbMath1286.54005OpenAlexW2077392258MaRDI QIDQ387204

David Guerrero Sánchez

Publication date: 20 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.06.014

zbMATH Keywords

domination\(\aleph_0\) spacedomination by second countable spacesLindelöf \(\Sigma\) spacestrong domination

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Scattered spaces (54G12)

Related Items (6)

If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Strong domination by countable and second countable spaces ⋮ Domination in products ⋮ Vietoris topology on spaces dominated by second countable ones ⋮ Spaces with an \(M\)-diagonal

Cites Work

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• Domination by second countable spaces and Lindelöf \(\Sigma \)-property
• Remainders over discrets. Some applications
• Espaces de Banachs faiblement K-analytiques
• The number of \(K\)-determination of topological spaces
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• A \(C_p\)-theory problem book. Topological and function spaces
• A new class of weakly countably determined Banach spaces

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