Gul'ko, descriptive, and Gruenhage compact spaces

DOI10.5052/RACSAM.2010.14zbMath1228.46015OpenAlexW1493029610MaRDI QIDQ549568

Václav Zizler, Marian J. Fabian, Vicente Montesinos Santalucía

Publication date: 18 July 2011

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5052/racsam.2010.14

zbMATH Keywords

networkseparating familyrenorming\(\sigma\)-isolated familydescriptivedual rotundfragmentable compact spacesGruenhageGul'ko

Mathematics Subject Classification ID

Compactness (54D30) Isomorphic theory (including renorming) of Banach spaces (46B03) Nonseparable Banach spaces (46B26)

Related Items (2)

On \(\mathcal T_p\)-locally uniformly rotund norms ⋮ On Gruenhage spaces, separating \(\sigma\)-isolated families, and their relatives

Cites Work

• Sigma-locally uniformly rotund and sigma-weak\(^*\) Kadets dual norms
• The topology of certain spaces of measures
• On weakly Lindelöf Banach spaces
• Pointwise semicontinuous smooth norms
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• Inner characterizations of weakly compactly generated Banach spaces and their relatives
• Network characterization of Gul'ko compact spaces and their relatives
• On trees and dual rotund norms
• Gruenhage compacta and strictly convex dual norms
• Unconditional bases and strictly convex dual renormings
• A Note on Gul'ko Compact Spaces
• Internal characterization of fragmentable spaces
• Descriptive compact spaces and renorming
• The day norm and Gruenhage compacta
• A Gâteaux differentiability space that is not weak Asplund
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