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

DOI10.1090/S0002-9939-99-04782-6zbMath0992.54016MaRDI QIDQ4243737

Jean Calbrix, Alexander V. Arhangel'skii

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

topology of pointwise convergencefunction spaces\(K\)-analytic spaces\(\sigma\)-compactness

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Local compactness, (sigma)-compactness (54D45)

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Bounded resolutions for spaces \(C_p(X)\) and a characterization in terms of \(X\) ⋮ A selection of recent results and problems in \(C_{p}\)-theory ⋮ \(\omega^\omega\)-dominated function spaces and \(\omega^{\omega}\)-bases in free objects of topological algebra ⋮ Covering properties of Cp(X) and Ck(X) ⋮ A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X ⋮ \(C _p\)-spaces dominated by metrizable topologies ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Special issue on \(C_p(X)\)-theory

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