Stratifiability of \(C_k(X)\) for a class of separable metrizable \(X\)

DOI10.1016/J.TOPOL.2007.04.030zbMath1180.54039OpenAlexW1995538186MaRDI QIDQ952611

Evgenii A. Reznichenko

Publication date: 12 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.topol.2007.04.030

zbMATH Keywords

compact-open topologyfunction spacestratifiablepolish space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Local compactness, (sigma)-compactness (54D45) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (1)

On the \(C_k\)-stable closure of the class of (separable) metrizable spaces

Cites Work

• If \(X\) is \(\sigma\)-compact Polish, then \(C_{k}\)(\(X\)) has a \(\sigma\)-closure-preserving base
• Non-stratifiability of \(C_{k}(X)\) for a class of separable metrizable \(X\)
• Some weaker monotone separation and basis properties
• On monotonic generalizations of Moore spaces, Čech complete spaces and p-spaces
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