Weight of precompact subsets and tightness

DOI10.1016/S0022-247X(02)00032-XzbMath1012.46007MaRDI QIDQ1614675

Jerzy Kąkol, Stephen A. Saxon, Bernardo Cascales

Publication date: 8 September 2002

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

zbMATH Keywords

tightnessweightLindelöf number

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (21)

On countable bounded tightness for spaces \(C_{p}(X)\) ⋮ Bounded tightness for locally convex spaces and spaces \(C(X)\) ⋮ \(\omega^{\omega}\)-base and infinite-dimensional compact sets in locally convex spaces ⋮ Tightness and distinguished Fréchet spaces ⋮ Compact coverings for Baire locally convex spaces ⋮ Domination by second countable spaces and Lindelöf \(\Sigma \)-property ⋮ Compactoid filters and USCO maps. ⋮ Lindelöf spaces C(X) over topological groups ⋮ A NOTE ON SPACES C_p(X)K-ANALYTIC-FRAMED IN ℝ^X ⋮ Quasi-Suslin weak duals ⋮ Web-compact spaces, Fréchet-Urysohn groups and a Suslin closed graph theorem ⋮ Topological properties of inductive limits of closed towers of metrizable groups ⋮ On realcompact topological vector spaces ⋮ On a three-space property for Lindelöf \(\Sigma\)-spaces, (WCG)-spaces and the Sobczyk property ⋮ Metrizability vs. Fréchet-Uryshon property ⋮ Sub-posets in \(\omega^\omega\) and the strong Pytkeev\(^*\) property ⋮ Necessary and sufficient conditions for precompact sets to be metrisable ⋮ The quotient/codimension problems ⋮ Unnamed Item ⋮ Weakly K-analytic spaces and the three-space property for analyticity ⋮ NOTE ABOUT LINDELÖF Σ-SPACES υX

Cites Work

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• On minimal upper semicontinuous compact-valued maps
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• Bemerkungen zum Satz über die Separabilität der Frechet-Montel- Räume
• Mackey \(\aleph_0\)-barrelled spaces
• Differential calculus in topological linear spaces
• On K-analytic locally convex spaces
• Theory of capacities
• Quasi-LB-Spaces
• Montel (DF)-Spaces, Sequential (LM)-Spaces and the Strongest Locally Convex Topology
• Metrizability of precompact subsets in (LF)-spaces
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