Descriptive topology for analysts

DOI10.1007/s13398-020-00837-zzbMath1436.54012OpenAlexW3013030273MaRDI QIDQ2173667

Juan Carlos Ferrando

Publication date: 17 April 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00837-z

zbMATH Keywords

countably tight spaceFréchet-Urysohn spaceangelic spacecosmic space\(K\)-analytic spaceLindelöf \(\Sigma\)-spaceanalytic space\(\mathfrak{G}\)-baseGul'koValdivia compact spacesquasi-Suslin spaceCorsonEberleinTalagrandtrans-separable space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological spaces with richer structures (54E99) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Banach spaces of continuous, differentiable or analytic functions (46E15) Duality and reflexivity in normed linear and Banach spaces (46B10) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items (8)

Bounded resolutions for spaces \(C_p(X)\) and a characterization in terms of \(X\) ⋮ Valdivia's lifting theorem for non-metrizable spaces ⋮ Covering properties of Cp(X) and Ck(X) ⋮ On bounded sets in \(C_k ( X )\) ⋮ Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\) ⋮ On weakly compact sets in \(C\left( X\right) \) ⋮ A note on the weak topology of spaces \(C_k(X)\) of continuous functions ⋮ Sub-posets in \(\omega^\omega\) and the strong Pytkeev\(^*\) property

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