If \(X\) is \(\sigma\)-compact Polish, then \(C_{k}\)(\(X\)) has a \(\sigma\)-closure-preserving base

DOI10.1016/J.TOPOL.2003.08.034zbMath1074.54009OpenAlexW1980536431MaRDI QIDQ555795

Gary Gruenhage, Ken-ichi Tamano

Publication date: 10 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.topol.2003.08.034

zbMATH Keywords

function spacestratifiableM\(_1\)-spacepolish

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Stratifiable spaces, cosmic spaces, etc. (54E20)

Related Items (4)

More stratifiable function spaces ⋮ Gary Gruenhage ⋮ Sequential properties of function spaces with the compact-open topology ⋮ Stratifiability of \(C_k(X)\) for a class of separable metrizable \(X\)

Cites Work

• Closure preserving properties of \(C_{k}\)(metric fan)
• Some generalizations of metric spaces
• On M-structures
• Normality in function spaces
• A note on nets and metrization
• C-scattered and paracompact spaces
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