The quantitative difference between countable compactness and compactness

DOI10.1016/J.JMAA.2008.01.051zbMath1144.46023OpenAlexW2093619773MaRDI QIDQ2427287

Carlos Angosto, Bernardo Cascales

Publication date: 8 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.051

zbMATH Keywords

distancescountable compactnesscompactness\(C_p(X)\)-spacescountably \(K\)-determined spaces

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (10)

Distances to spaces of Baire one functions ⋮ Measures of weak non-compactness in spaces of nuclear operators ⋮ A quantitative version of Krein's theorems for Fréchet spaces ⋮ A quantitative approach to weak compactness in Fréchet spaces and spaces \(C(X)\) ⋮ Quantitative Dunford-Pettis property ⋮ Distances to spaces of first resolvable class mappings ⋮ A quantitative extension of a theorem of Valdivia on weak compactness ⋮ Quantification of the Banach-Saks property ⋮ Measures of weak non-compactness in preduals of von Neumann algebras and \(JBW^\ast\)-triples ⋮ Quantifications of boundedly complete and shrinking bases

Cites Work

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• Seminorms related to weak compactness and to Tauberian operators
• Pointwise Compactness in Spaces of Continuous Functions
• Tree structures associated to a family of functions
• Criteres de Compacite dans les Espaces Fonctionnels Generaux

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