Sigma-fragmentability and the property SLD in \(C(K)\) spaces

DOI10.1016/J.TOPOL.2008.12.037zbMath1171.46015OpenAlexW1976130495MaRDI QIDQ1014530

J. F. Martínez

Publication date: 29 April 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2008.12.037

zbMATH Keywords

countable cover by sets of small local diameterrenormings\(\sigma \)-fragmentabilityRosenthal compacta

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)

Related Items (2)

Topological properties of the continuous function spaces on some ordered compacta ⋮ Are Eberlein-Grothendieck scattered spaces \(\sigma\)-discrete?

Cites Work

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• A nonlinear transfer technique for renorming
• Spaces of functions with countably many discontinuities
• The function space over the Helly compact is sigma-fragmentable
• Mappings of Baire spaces into function spaces and Kadeč renorming
• Continuous functions on compact totally ordered spaces
• σ‐fragmentable Banach spaces
• Topological Properties of Banach Spaces
• σ-fragmented Banach spaces II
• Locally uniformly rotund renorming and fragmentability
• Trees in Renorming Theory
• Kadec norms and Borel sets in a Banach space
• Locally uniformly rotund norms

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