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Title: Characterization of Caratheodory functions
Authors: Nowak, Andrzej
Keywords: Carathéodory function; Extension; Measurable selection
Issue Date: 2013
Citation: Annales Mathematicae Silesianae, Nr 27 (2013), s. 93-98
Abstract: This paper deals with some interesting but rather technical questions about measurability. Suppose (T,T) is a measurable space, and X,Y are metric spaces. Given f:T×X→Y we define a new function F, mapping from T to the set of functions from X to Y, by F(t)(x)=f(t,x). Denote by C(X,Y) the space of continuous functions from X to Y endowed with the compact-open topology.
ISSN: 0860-2107
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