Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)

DOI10.1016/J.TOPOL.2008.10.016zbMath1165.54007OpenAlexW2084634014MaRDI QIDQ1005177

Juan Carlos Ferrando

Publication date: 6 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2008.10.016

zbMATH Keywords

locally convex spacetopological linear spacecompletely regular space\(K\)-analytic spaceanalytic spacerealcompact space(pointwise) bounded setLindelöf \(\Sigma \)-space

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 (7)

Covering properties of Cp(X) and Ck(X) ⋮ Metrizable-like locally convex topologies on \(C(X)\) ⋮ Descriptive topology for analysts ⋮ Some topological cardinal inequalities for spaces \(C_p(X)\) ⋮ Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\) ⋮ On realcompact topological vector spaces ⋮ NOTE ABOUT LINDELÖF Σ-SPACES υX

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• Two new properties of the space \(C_{p}(x)\)
• Compact coverings for Baire locally convex spaces
• On quasi-Souslin \(C_{c}(X)\) spaces
• 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
• On some classes of Lindelöf \(\Sigma\)-spaces
• Stone-Čech compactification of a product
• A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X
• Σ-spaces

This page was built for publication: Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)