On some generalizations of compactness in spaces \(C_p(X,2)\) and \(C_p(X,\mathbb Z)\)

zbMath1042.54010MaRDI QIDQ1429077

Agustín Contreras-Carreto, Ángel Tamariz-Mascarúa

Publication date: 30 March 2004

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Eberlein compactfunction spacespseudocompactEberlein-Grothendieck space\(\alpha\)-pseudocompact\(C_\alpha\)-compactultracompact

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Local compactness, (sigma)-compactness (54D45) Topology of special sets defined by functions (54C50)

Related Items (6)

Weak pseudocompactness on spaces of continuous functions ⋮ Remarks on the Menger property of \(C_{p}(X,2)\) ⋮ The Menger property on \(C_p(X, 2)\) ⋮ Spaces of continuous functions defined on Mrówka spaces ⋮ A Nagata-like theorem for certain function spaces ⋮ The partially pre-ordered set of compactifications of \(C_p(X,Y)\)

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