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Factorizations of set-valued mappings with separable range. (English) Zbl 0886.54016
Summary: Right factorizations for a class of l.s.c. mappings with separable metrizable range are constructed. Besides in the selection and dimension theories, these l.s.c. factorizations are also successful in solving the problem of factorizing a class of u.s.c. mappings.

MSC:
54C60 Set-valued maps in general topology
54F45 Dimension theory in general topology
54C65 Selections in general topology
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