On the property (C) of Corson and other sequential properties of Banach spaces

DOI10.1016/j.jmaa.2023.127441zbMath1528.46013arXiv2303.02122OpenAlexW4378469602MaRDI QIDQ6112495

Gonzalo Martínez-Cervantes, Alejandro Poveda

Publication date: 7 August 2023

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

Full work available at URL: https://arxiv.org/abs/2303.02122

zbMATH Keywords

convex setsBanach spaceproper forcing axiomtopological propertiescountable tightnessFréchet-Urysohn propertyEfremov propertyproperty (C) of Corson

Mathematics Subject Classification ID

Compactness (54D30) Sequential spaces (54D55) Consistency and independence results (03E35) Nonseparable Banach spaces (46B26) Consistency and independence results in general topology (54A35)

Cites Work

• Descriptive topology in selected topics of functional analysis
• CH and the Moore-Mrowka problem
• On the consistency of the Moore-Mrówka solution
• Weak\(^*\)-sequential properties of Johnson-Lindenstrauss spaces
• Three sequential properties of dual Banach spaces in the weak\(^*\) topology
• Banach spaces with weak*-sequential dual ball
• The Weak Topology of a Banach Space
• On a question of H.H. Corson and some related problems
• A compact space having the cardinality of the continuum with no convergent sequences
• On Compact Hausdorff Spaces of Countable Tightness
• Between the Lindelöf property and countable tightness
• Countable tightness in the spaces of regular probability measures
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