Covering properties of Cp(X) and Ck(X)
From MaRDI portal
Publication:5081249
DOI10.2298/FIL2011575FzbMath1499.54086MaRDI QIDQ5081249
Manuel López-Pellicer, Juan Carlos Ferrando
Publication date: 14 June 2022
Published in: Filomat (Search for Journal in Brave)
Function spaces in general topology (54C35) General theory of locally convex spaces (46A03) Real-valued functions in general topology (54C30) Research exposition (monographs, survey articles) pertaining to general topology (54-02)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spaces \(C(X)\) with ordered bases
- Compact spaces with a \(\mathbb{P}\)-diagonal
- Domination by a Polish space of the complement of the diagonal of \(X\) implies that \(X\) is cosmic
- Domination by metric spaces
- On uniform spaces with a small base and \(K\)-analytic \(C_c(X)\) spaces
- Free locally convex spaces with a small base
- Domination by second countable spaces and Lindelöf \(\Sigma \)-property
- 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)
- Two new properties of the space \(C_{p}(x)\)
- Compact coverings for Baire locally convex spaces
- On quasi-Souslin \(C_{c}(X)\) spaces
- Function spaces with a countable \(cs^*\)-network at a point
- Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)
- The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties
- On compactness in locally convex spaces
- When is the space \(C_ p(X)\) \(\sigma\)-countably-compact?
- Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
- Topological properties of spaces of continuous functions
- Espaces de Banachs faiblement K-analytiques
- Projective \(\sigma\)-compactness, \(\omega_1\)-caliber, and \(C_p\)-spaces
- A characterization of the existence of a fundamental bounded resolution for the space \(C_c(X)\) in terms of \(X\)
- Domination by countably compact spaces and hyperspaces
- On K-analytic locally convex spaces
- The number of \(K\)-determination of topological spaces
- A monotone version of the Sokolov property and monotone retractability in function spaces
- Descriptive topology for analysts
- Existence of nice resolutions in \(C_p(X)\) and its bidual often implies metrizability of \(C_p(X)\)
- A \(C_p\)-theory problem book. Compactness in function spaces
- If \(C_{p}(X)\) is strongly dominated by a second countable space, then \(X\) is countable
- A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
- Strong domination by countable and second countable spaces
- Metrizable-like locally convex topologies on \(C(X)\)
- Weak compactness and metrizability of Mackey$^*$-bounded sets in Fréchet spaces
- A \(C_p\)-theory problem book. Topological and function spaces
- Quasi-LB-Spaces
- A revised closed graph theorem for quasi-Suslin spaces
- A NOTE ON SPACES Cp(X)K-ANALYTIC-FRAMED IN ℝX
- Espaces $K_\sigma$ et espaces des applications continues
- Pointwise Compactness in Spaces of Continuous Functions
- A characterization of $\sigma $-compactness of a cosmic space $X$ by means of subspaces of $R^X$
- The Density Character of Function Spaces
- Bounded sets structure of CpX and quasi‐(DF)‐spaces
- DOMINATION CONDITIONS UNDER WHICH A COMPACT SPACE IS METRISABLE
- Topological Vector Spaces and Their Applications
- Spaces with a $\mathbb {Q}$-diagonal
- Σ-spaces
