Ivailo Shishkov
Hereditarily normal Kat\v etov spaces and extending of usco mappings

Comment.Math.Univ.Carolinae 41,1 (2000) 183-195.

Abstract: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.

Keywords: set-valued mapping, usco mapping, extension of maps, selection
AMS Subject Classification: 54C60, 54C20, 54C65, 54D15