Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\)

DOI10.1016/J.TOPOL.2020.107322zbMath1477.54015OpenAlexW3041065662MaRDI QIDQ2215650

Juan Carlos Ferrando

Publication date: 14 December 2020

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

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107322

zbMATH Keywords

barrelled spacebornological spacerealcompact spacedistinguished spacebounded resolutionLindelöf \( \Sigma \)-space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) General theory of locally convex spaces (46A03) Real-valued functions in general topology (54C30)

Related Items (1)

Covering properties of Cp(X) and Ck(X)

Cites Work

• Free locally convex spaces with a small base
• Descriptive topology in selected topics of functional analysis
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• Sur quelques propriétés de l'espace C\(_s\)(T)
• Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)
• Descriptive topology for analysts
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• Quasi-LB-Spaces
• Bounded sets structure of CpX and quasi‐(DF)‐spaces
• Topological Vector Spaces and Their Applications
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