On the \(\sigma\)-countable compactness of spaces of continuous functions with the set-open topology

DOI10.1134/S0081543814050174zbMath1307.54024OpenAlexW2078768129MaRDI QIDQ471010

Alexander V. Osipov, Evgeny G. Pytkeev

Publication date: 13 November 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543814050174

zbMATH Keywords

function space\(P\)-pointset-open topologyextremally disconnected space\(\sigma\)-countably compact space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30)

Cites Work

• Topological-algebraic properties of function spaces with set-open topologies
• Some properties of set-open topologies
• The spaces \(C_ p(X):\) decomposition into a countable union of bounded subspaces and completeness properties
• Weak topology of spaces of continuous functions
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