Embeddings and frames of function spaces

DOI10.1016/j.jmaa.2009.04.014zbMath1172.54013OpenAlexW2054282994MaRDI QIDQ1025834

Vladimir V. Tkachuk

Publication date: 23 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.014

zbMATH Keywords

framefunction spaceLindelöf spacecountable tightnessLindelöf \(\Sigma \)-space\(\omega \)-embedding\(\sigma \)-compact space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compact (locally compact) metric spaces (54E45) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

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Cites Work

• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• When is the space \(C_ p(X)\) \(\sigma\)-countably-compact?
• Calibers of spaces of functions and the metrization problem for compact subsets of \(C_ p(X)\)
• Spaces having a small diagonal
• An Empty Class of Nonmetric Spaces
• Convergent Free Sequences in Compact Spaces
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