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Article

Shishkov, Ivailo
Hereditarily normal Katětov spaces and extending of usco mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 41 (2000), issue 1, pp. 183-196
MSC: 54C20, 54C60, 54C65, 54D15 | MR 1756939 | Zbl 1037.54501
Keywords:
set-valued mapping; usco mapping; extension of maps; selection
Summary:
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.
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