Function spaces with a countable \(cs^*\)-network at a point

DOI10.1016/j.topol.2007.10.012zbMath1157.54006OpenAlexW2007234121MaRDI QIDQ958512

Masami Sakai

Publication date: 5 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.10.012

zbMATH Keywords

compact-open topologytopology of pointwise convergencefunction spacestrong Pytkeev property\(cs\)-networkmoving off\(\aleph \)-space\(\aleph_{0}\)-space\(cs^{*}\)-network

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Sequential spaces (54D55) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

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Cites Work

• \(\kappa\)-Fréchet Urysohn property of \(C_{k}(X)\)
• Completeness properties of function spaces
• Some properties of C(X). I
• Topological groups with a certain point-countable cover
• Two properties of \(C_{p}(x)\) weaker than the Fréchet Urysohn property
• Metrizability and the Frechet-Urysohn Property in Topological Groups
• The topological structure of (homogeneous) spaces and groups with countable cs∗-character
• Some cover properties of spaces
• On Paracompactness in Function Spaces with the Compact-Open Topology
• A characterization of ℵ0-spaces
• The Pytkeev property and the Reznichenko property in function spaces
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