Abstract: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.
Keywords: set-valued mapping, lower (upper) semi-continuous, factorization
AMS Subject Classification: Primary 54C60, 54C65; Secondary 54F45