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Covering properties of Cp(X) and Ck(X) (Q5081249)

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scientific article; zbMATH DE number 7541434

Language	Label	Description	Also known as
English	Covering properties of Cp(X) and Ck(X)	scientific article; zbMATH DE number 7541434

Statements

scholarly article

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

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publication date

14 June 2022

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zbMATH Keywords

Lindelöf \(\Sigma\)-space

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\(K\)-analytic space

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analytic space

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cosmic space

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survey

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Juan Carlos Ferrando

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Manuel López-Pellicer

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MaRDI profile type

MaRDI publication profile

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Projective \(\sigma\)-compactness, \(\omega_1\)-caliber, and \(C_p\)-spaces

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A characterization of $\sigma $-compactness of a cosmic space $X$ by means of subspaces of $R^X$

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Topological Vector Spaces and Their Applications

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Sur quelques propriétés de l'espace C\(_s\)(T)

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Espaces $K_\sigma$ et espaces des applications continues

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On K-analytic locally convex spaces

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The number of \(K\)-determination of topological spaces

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On compactness in locally convex spaces

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Domination by second countable spaces and Lindelöf \(\Sigma \)-property

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DOMINATION CONDITIONS UNDER WHICH A COMPACT SPACE IS METRISABLE

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Compact spaces with a \(\mathbb{P}\)-diagonal

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Spaces with a $\mathbb {Q}$-diagonal

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

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On uniform spaces with a small base and \(K\)-analytic \(C_c(X)\) spaces

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

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A characterization of the existence of a fundamental bounded resolution for the space \(C_c(X)\) in terms of \(X\)

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Descriptive topology for analysts

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

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Metrizable-like locally convex topologies on \(C(X)\)

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Bounded sets structure of CpX and quasi‐(DF)‐spaces

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A NOTE ON SPACES <i>C</i><sub><i>p</i></sub>(<i>X</i>)<i>K</i>-ANALYTIC-FRAMED IN ℝ<sup><i>X</i></sup>

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Weak compactness and metrizability of Mackey$^*$-bounded sets in Fréchet spaces

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A revised closed graph theorem for quasi-Suslin spaces

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Spaces \(C(X)\) with ordered bases

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On quasi-Souslin \(C_{c}(X)\) spaces

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Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978

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Free locally convex spaces with a small base

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Domination by metric spaces

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Domination by a Polish space of the complement of the diagonal of \(X\) implies that \(X\) is cosmic

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If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable

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Domination by countably compact spaces and hyperspaces

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Descriptive topology in selected topics of functional analysis

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Compact coverings for Baire locally convex spaces

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Topological properties of spaces of continuous functions

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The Density Character of Function Spaces

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On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology

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Pointwise Compactness in Spaces of Continuous Functions

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A monotone version of the Sokolov property and monotone retractability in function spaces

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Function spaces with a countable \(cs^*\)-network at a point

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Espaces de Banachs faiblement K-analytiques

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The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties

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A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic

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A \(C_p\)-theory problem book. Topological and function spaces

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A \(C_p\)-theory problem book. Compactness in function spaces

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Strong domination by countable and second countable spaces

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When is the space \(C_ p(X)\) \(\sigma\)-countably-compact?

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Quasi-LB-Spaces

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Identifiers

zbMATH Open document ID

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10.2298/FIL2011575F

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5081249

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