Sigma-fragmentability of mappings into \(C_p(K)\)

DOI10.1016/S0166-8641(97)00217-4zbMath0930.54018MaRDI QIDQ1295207

Isaac Namioka, Roman Pol

Publication date: 13 September 1999

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

zbMATH Keywords

\(\sigma\)-fragmentedcover semicompleteexhaustive coverproperty \(N^*\)

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Banach spaces of continuous, differentiable or analytic functions (46E15) Fairly general properties of topological spaces (54D99)

Related Items (7)

Continuous functions on products of compact Hausdorff spaces ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Topological games and topological groups ⋮ Fragmentability in Banach spaces: interaction of topologies ⋮ On hereditarily Baire spaces, \(\sigma\)-fragmentability of mappings and Namioka property ⋮ Norm continuity of quasi-continuous mappings into \(C_p(X)\) and product spaces ⋮ Generalized Analytic Spaces, Completeness and Fragmentability

Cites Work

• Unnamed Item
• Unnamed Item
• Borel selectors for upper semi-continuous set-valued maps
• \(\sigma\)-fragmentability of multivalued maps and selection theorems
• A quasi-closure preserving sum theorem about the Namioka property
• Mappings of Baire spaces into function spaces and Kadeč renorming
• A Note on Completely Metrizable Spaces
• Internal characterization of fragmentable spaces
• Embeddings of function spaces
• Countable unions of compact spaces with the Namioka property
• Fragmentability and Sigma-Fragmentability of Banach Spaces
• Continuous functions on products of compact Hausdorff spaces
• Every Cech-analytic Baire semitopological group is a topological group
• The class of co-Namioka compact spaces is stable under product
• σ‐fragmentable Banach spaces

This page was built for publication: Sigma-fragmentability of mappings into \(C_p(K)\)