Hereditarily normal Katětov spaces and extending of usco mappings
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 183-196
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Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.
Several classes of hereditarily normal spaces are characterized in terms of extending upper semi-continuous compact-valued mappings. The case of controlled extensions is considered as well. Applications are obtained for real-valued semi-continuous functions.
Classification :
54C20, 54C60, 54C65, 54D15
Keywords: set-valued mapping; usco mapping; extension of maps; selection
Keywords: set-valued mapping; usco mapping; extension of maps; selection
@article{CMUC_2000_41_1_a17,
author = {Shishkov, Ivailo},
title = {Hereditarily normal {Kat\v{e}tov} spaces and extending of usco mappings},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {183--196},
year = {2000},
volume = {41},
number = {1},
mrnumber = {1756939},
zbl = {1037.54501},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_1_a17/}
}
Shishkov, Ivailo. Hereditarily normal Katětov spaces and extending of usco mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 1, pp. 183-196. http://geodesic.mathdoc.fr/item/CMUC_2000_41_1_a17/