NOTE ABOUT LINDELÖF Σ-SPACES υX

DOI10.1017/S000497271100270XzbMath1247.54025WikidataQ59330087 ScholiaQ59330087MaRDI QIDQ3115771

Jerzy Kąkol, Manuel López-Pellicer

Publication date: 10 February 2012

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

realcompactificationcountable tightnessLindelöf \(\Sigma\)-spacesweb-bounded spacesspaces of continuous real-valued maps

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Cites Work

• Unnamed Item
• On Lindelöf \(\Sigma\)-spaces of continuous functions in the pointwise topology
• Compact coverings for Baire locally convex spaces
• Some characterizations for \(\upsilon X\) to be Lindelöf \(\Sigma \) or \(K\)-analytic in terms of \(C_{p}(X)\)
• On compactness in locally convex spaces
• Weight of precompact subsets and tightness
• On K-analytic locally convex spaces
• Quasi-Suslin weak duals
• Quasi-LB-Spaces
• A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X
• Pointwise Compactness in Spaces of Continuous Functions
• Metrizability vs. Fréchet-Uryshon property

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