Descriptive topology for analysts
DOI10.1007/s13398-020-00837-zzbMath1436.54012OpenAlexW3013030273MaRDI QIDQ2173667
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
countably tight spaceFréchet-Urysohn spaceangelic spacecosmic space\(K\)-analytic spaceLindelöf \(\Sigma\)-spaceanalytic space\(\mathfrak{G}\)-baseGul'koValdivia compact spacesquasi-Suslin spaceCorsonEberleinTalagrandtrans-separable space
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)
Cites Work
- On the \(C_k\)-stable closure of the class of (separable) metrizable spaces
- Spaces \(C(X)\) with ordered bases
- The Ascoli property for function spaces
- The strong Pytkeev property for topological groups and topological vector spaces
- On topological properties of Fréchet locally convex spaces with the weak topology
- On a theorem of D. P. Baturov
- Free locally convex spaces with a small base
- Descriptive topology in selected topics of functional analysis
- Topics in topology
- On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
- Two new properties of the space \(C_{p}(x)\)
- \(\mathfrak{P}_0\)-spaces
- Projective resolution of identity in C(K) 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 \(C_{p}(X)\)
- On strongly WCG Banach spaces
- K-space function spaces
- Every separable metric space is Lipschitz equivalent to a subset of \(C_0\)
- Some new results on weak compactness
- Espaces de Banachs faiblement K-analytiques
- A characterization of the existence of a fundamental bounded resolution for the space \(C_c(X)\) in terms of \(X\)
- \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra
- A class of topological groups which do not admit normal compatible locally quasi-convex topologies
- Topological properties of function spaces over ordinals
- Metrizable quotients of \(C_p\)-spaces
- On K-analytic locally convex spaces
- Bounded tightness for locally convex spaces and spaces \(C(X)\)
- Metrization conditions for topological vector spaces with Baire type properties
- A \(C_p\)-theory problem book. Compactness in function spaces
- Countable tightness and \({\mathfrak{G}} \)-bases on free topological groups
- The quotient/codimension problems
- The Mackey problem for free abelian topological groups
- \(C _p\)-spaces dominated by metrizable topologies
- Josefson-Nissenzweig property for \(C_p\)-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
- Metrizable-like locally convex topologies on \(C(X)\)
- Efimov spaces and the separable quotient problem for spaces \(C_{p}(K)\)
- Weak compactness and metrizability of Mackey$^*$-bounded sets in Fréchet spaces
- Some uniformities on \(X\) related to topological properties of \(C(X)\)
- \(C_c(X)\) spaces with \(X\) locally compact
- Quasi-Suslin weak duals
- A characterization of trans-separable spaces
- The structure of weakly compact sets in Banach spaces
- Resolutions of the identity in certain Banach spaces
- The Ascoli property for function spaces and the weak topology of Banach and Fréchet spaces
- On precompact sets in spaces Cc(X)
- Quasi-LB-Spaces
- The metrisability of precompact sets
- 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 Productive Class of Angelic Spaces
- Weak and Pointwise Compactness in the Space of Bounded Continuous Functions
- Another note on Kalton's theorems
- On spaces weakly ‐analytic
- On topological groups with a small base and metrizability
- Bounded sets structure of CpX and quasi‐(DF)‐spaces
- Separable quotients in 𝐶_{𝑐}(𝑋), 𝐶_{𝑝}(𝑋), and their duals
- Topological Vector Spaces and Their Applications
- A note on the theorem of Baturov
- Necessary and sufficient conditions for precompact sets to be metrisable
- On injective Banach spaces and the spaces $C\left( S \right)$
- On quasi-Souslin space and closed graph theorem
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