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Behavior of the Lindelöf \(\Sigma\)-property in iterated function spaces

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Publication:1585742
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DOI10.1016/S0166-8641(99)00112-1zbMath0983.54019MaRDI QIDQ1585742

Vladimir V. Tkachuk

Publication date: 24 January 2001

Published in: Topology and its Applications (Search for Journal in Brave)


zbMATH Keywords

Hewitt realcompactification


Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Function spaces in general topology (54C35) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Realcompactness and realcompactification (54D60)


Related Items

A selection of recent results and problems in \(C_{p}\)-theory ⋮ Some remarks in iterated function spaces ⋮ Hereditarily monotonically Sokolov spaces have countable network weight ⋮ The Collins-Roscoe property and its applications in the theory of function spaces ⋮ Some criteria for \(C_p(X)\) to be an \(L\Sigma(\leq\omega)\)-space ⋮ Lindelöf \(\Sigma\)-spaces: an omnipresent class ⋮ If \(K\) is Gul'ko compact, then every iterated function space \(C_{p,n}(K)\) has a uniformly dense subspace of countable pseudocharacter ⋮ Calibers, \(\omega\)-continuous maps and function spaces ⋮ On discrete reflexivity of Lindelöf degree and pseudocharacter



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