Final compactness is not preserved under products of spaces of the form \(C_ p(X)\)

DOI10.1007/BF00975017zbMath0653.54011MaRDI QIDQ1107868

A. G. Lejderman, V. I. Malykhin

Publication date: 1988

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Lindelöf property\(ZFC+\neg CH\)\(ZFC+CH\)countable tightness \(\Sigma\)-product

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Consistency and independence results in general topology (54A35)

Related Items (4)

Function spaces over GO-spaces. I. ⋮ Combinatorial Dichotomies in Set Theory ⋮ Lindelöf powers and products of function spaces ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

• The Baire category theorem in products of linear spaces and topological groups
• The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties
• Weak topology of spaces of continuous functions
• Pseudocompactness and uniform continuity in topological groups
• An Infinite-Dimensional Pre-Hilbert Space not Homeomorphic to its own Square
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