A compact space \(K\) is Corson compact if and only if \(C_p(K)\) has a dense \(lc\)-scattered subspace

DOI10.1016/J.JMAA.2023.127992MaRDI QIDQ6180461

Vladimir V. Tkachuk

Publication date: 19 January 2024

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

zbMATH Keywords

zero-dimensional spacescattered spaceLindelöf spaceCorson compact spacefunctionally countable space\(lc\)-scattered space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Scattered spaces (54G12)

Cites Work

• A \(C_p\)-theory problem book. Functional equivalencies
• Lindelöf \(\Sigma\)-spaces: an omnipresent class
• One more topological equivalent of CH
• A \(C_p\)-theory problem book. Compactness in function spaces
• A \(C_p\)-theory problem book. Special features of function spaces
• A \(C_p\)-theory problem book. Topological and function spaces
• Spaces defined by topological games, II
• Spaces defined by topological games
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