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On the construction of set-valued measures

Siggini K. K.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 3

251-259

In [15] Topsoe characterizes the narrowly compact subsets of measures in general situations. The basie tool used is extension of a content to a measure. In this paper we generalize to tight set-valued map these theorems of extension [15, Theorem l, p. 198; Theorem 2 and 3, p. 201]. In our next papers we shall apply these results to the study of compactness in space of set-valued measures.