A weak Asplund space whose dual is not weak$^*$ fragmentable

DOI10.1090/S0002-9939-01-06002-6zbMath0997.46013OpenAlexW1541055144MaRDI QIDQ2750874

Scott Sciffer, Kenderov, Petar S., Moors, Warren B.

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06002-6

zbMATH Keywords

fragmentable spaceStegall's class

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Geometry and structure of normed linear spaces (46B20) Nonseparable Banach spaces (46B26)

Related Items (9)

Universally meager sets and principles of generic continuity and selection in Banach spaces ⋮ On subclasses of weak Asplund spaces ⋮ Single-directional properties of quasi-monotone operators ⋮ Separated sets and Auerbach systems in Banach spaces ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Porosity and differentiability in smooth Banach spaces ⋮ A weak Asplund space whose dual is not in Stegall’s class ⋮ FRAGMENTABILITY BY THE DISCRETE METRIC ⋮ A weakly Stegall space that is not a Stegall space

Cites Work

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• Stegall compact spaces which are not fragmentable
• Sigma-fragmentable spaces that are not countable unions of fragmentable subspaces
• Mappings of Baire spaces into function spaces and Kadeč renorming
• Solution of Kuratowski's problem on function having the Baire property, I
• A generic factorization theorem

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