Geodesic
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.
Classification : 54C20, 54C60, 54C65, 54D15
Keywords: set-valued mapping; usco mapping; extension of maps; selection 
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     title = {Hereditarily normal {Kat\v{e}tov} spaces and extending of usco mappings},
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     zbl = {1037.54501},
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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/