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Calibers of spaces of functions and the metrization problem for compact subsets of \(C_ p(X)\)

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Publication:1107867
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zbMath0653.54010MaRDI QIDQ1107867

Vladimir V. Tkachuk

Publication date: 1988

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)


zbMATH Keywords

ZFCpseudocompact spacecaliberCH-FAcompact space with \(\omega _ 1\)-inaccessible diagonaldense continuous image of a product of separable spacespseudocompact subspace without \(G_{\delta }\)-diagonal


Mathematics Subject Classification ID

Function spaces in general topology (54C35) Metric spaces, metrizability (54E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)


Related Items (7)

Small diagonal of \(X\) and calibers of \(C_{p}(X)\) ⋮ On a theorem of Grothendieck in \(C_ p\)-theory ⋮ A pseudocompact space with Kelley's property has a strictly positive measure ⋮ Calibers, \(\omega\)-continuous maps and function spaces ⋮ Embeddings and frames of function spaces ⋮ Embeddings in \(C_p\)-spaces ⋮ Special issue on \(C_p(X)\)-theory







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