Two new properties of the space \(C_{p}(x)\)

DOI10.1016/j.topol.2007.01.008zbMath1119.54012OpenAlexW2055079192MaRDI QIDQ880149

Juan Carlos Ferrando

Publication date: 10 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.01.008

zbMATH Keywords

\(K\)-analytic spacedomination by the irrationalsquasi-Souslin spaceTalagrand compact

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) General theory of locally convex spaces (46A03)

Related Items

Covering properties of Cp(X) and Ck(X) ⋮ Descriptive topology for analysts ⋮ A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X ⋮ Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)

Cites Work

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• Espaces de Banachs faiblement K-analytiques
• On K-analytic locally convex spaces
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• Quasi-Suslin weak duals
• Pointwise Compactness in Spaces of Continuous Functions