A weak Asplund space whose dual is not in Stegall’s class

DOI10.1090/S0002-9939-02-06625-XzbMath0997.46014MaRDI QIDQ2782647

Ondřej F. K. Kalenda

Publication date: 8 April 2002

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

zbMATH Keywords

fragmentable spaceStegall's class of spaces

Mathematics Subject Classification ID

Set-valued functions (26E25) Set-valued maps in general topology (54C60) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Nonseparable Banach spaces (46B26)

Related Items (4)

On subclasses of weak Asplund spaces ⋮ Separated sets and Auerbach systems in Banach spaces ⋮ FRAGMENTABILITY BY THE DISCRETE METRIC ⋮ A weakly Stegall space that is not a Stegall space

Cites Work

• Stegall compact spaces which are not fragmentable
• Mappings of Baire spaces into function spaces and Kadeč renorming
• Iterated Cohen extensions and Souslin's problem
• A weak Asplund space whose dual is not weak$^*$ fragmentable
• Solution of Kuratowski's problem on function having the Baire property, I
• Precipitous ideals
• On a condition for Cohen extensions which preserve precipitous ideals
• The Dual of a Gateaux Smooth Banach Space is Weak Star Fragmentable
• A generic factorization theorem
• Internal cohen extensions
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