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Distances from selectors to spaces of Baire one functions
Authors:C Angosto
Institution:Departamento de Matemáticas, Universidad de Murcia, 30.100 Espinardo Murcia, Spain
Abstract:Given a metric space X and a Banach space (E,‖⋅‖) we study distances from the set of selectors Sel(F) of a set-valued map View the MathML source to the space B1(X,E) of Baire one functions from X into E. For this we introduce the d-τ-semioscillation of a set-valued map with values in a topological space (Y,τ) also endowed with a metric d. Being more precise we obtain that
View the MathML source
Keywords:54C35  54C65  54H05
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