Factorizations of set-valued mappings with separable range
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 809-814
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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.
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.
Classification :
54C60, 54C65, 54F45
Keywords: set-valued mapping; lower (upper) semi-continuous; factorization
Keywords: set-valued mapping; lower (upper) semi-continuous; factorization
@article{CMUC_1996_37_4_a12,
author = {Gutev, Valentin G.},
title = {Factorizations of set-valued mappings with separable range},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {809--814},
year = {1996},
volume = {37},
number = {4},
mrnumber = {1440711},
zbl = {0886.54016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_4_a12/}
}
Gutev, Valentin G. Factorizations of set-valued mappings with separable range. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 4, pp. 809-814. http://geodesic.mathdoc.fr/item/CMUC_1996_37_4_a12/