A NOTE ON SPACES Cp(X)K-ANALYTIC-FRAMED IN ℝX

DOI10.1017/S0004972708000567zbMath1156.54007MaRDI QIDQ3534783

Jerzy Kąkol, Juan Carlos Ferrando

Publication date: 5 November 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

angelic spacecosmic space\(K\)-analytic spaceLindelöf \(\Sigma\)-space\(\mathcal P\)-framed space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (9)

Bounded resolutions for spaces \(C_p(X)\) and a characterization in terms of \(X\) ⋮ \(\omega^{\omega}\)-base and infinite-dimensional compact sets in locally convex spaces ⋮ Covering properties of Cp(X) and Ck(X) ⋮ Descriptive topology for analysts ⋮ Unnamed Item ⋮ On realcompact topological vector spaces ⋮ Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\) ⋮ \(C _p\)-spaces dominated by metrizable topologies ⋮ NOTE ABOUT LINDELÖF Σ-SPACES υX

Cites Work

• Unnamed Item
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• Two new properties of the space \(C_{p}(x)\)
• On compactness in locally convex spaces
• Espaces de Banachs faiblement K-analytiques
• Weight of precompact subsets and tightness
• On K-analytic locally convex spaces
• A space \(C_p(X)\) is dominated by irrationals if and only if it is \(K\)-analytic
• Quasi-Suslin weak duals
• Function spaces in the topology of pointwise convergence, and compact sets
• Descriptive Complexity of Function Spaces
• Pointwise Compactness in Spaces of Continuous Functions
• A characterization of $\sigma $-compactness of a cosmic space $X$ by means of subspaces of $R^X$
• Metrizability vs. Fréchet-Uryshon property

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