\(\sigma\)-fragmentability of multivalued maps and selection theorems

DOI10.1006/JFAN.1993.1127zbMath0822.54018OpenAlexW2071023550MaRDI QIDQ1310806

V. Pereyra

Publication date: 23 October 1995

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1993.1127

zbMATH Keywords

Asplund spaceweak-star upper semicontinuous map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items (24)

Distances to spaces of Baire one functions ⋮ On Baire classification of mappings with values in connected spaces ⋮ Fragmentable mappings and CHART groups ⋮ Norming sets and compactness ⋮ Extending Baire-one functions on compact spaces ⋮ Distances to spaces of first resolvable class mappings ⋮ Tameness and Rosenthal type locally convex spaces ⋮ Borel sets and functions in topological spaces ⋮ Median pretrees and functions of bounded variation ⋮ Selection properties of the split interval and the Continuum hypothesis ⋮ A generalization of a Baire theorem concerning barely continuous functions ⋮ Distances from selectors to spaces of Baire one functions ⋮ A note on tameness of families having bounded variation ⋮ Maps with the Radon-Nikodým property ⋮ Banach Representations and Affine Compactifications of Dynamical Systems ⋮ On hereditarily Baire spaces, \(\sigma\)-fragmentability of mappings and Namioka property ⋮ Compactness, Optimality, and Risk ⋮ Boundaries of Asplund spaces ⋮ Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces ⋮ There are \(2^{\mathfrak{c}}\) quasicontinuous non Borel functions on uncountable Polish space ⋮ Distances from selectors to spaces of functions ⋮ On weakly locally uniformly rotund Banach spaces ⋮ Representations of dynamical systems on Banach spaces not containing $l_{1}$ ⋮ Sigma-fragmentability of mappings into \(C_p(K)\)

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