The Alexandroff Type Theorem for Set Multifunctions Defined on a Borel σ-algebra of Hausdorff Space
SUN Rong
a.School of Mathematics and Statistics,b.Chongqing Key Laboratory for Applied Statistics for Social Economy,Chongqing Technology and Business Universty, Chongqing 400067, China
Abstract:
In this paper,based on more generalized compactness condition than A.C. Gavrilut,we further a previous study concerning abstract regularity for set multifunction, we also study the relationships among abstract regularities and other properties of continuity,some Alexandroff type theorems of set multifunctions defined on the Borel σ algebra of a locally compact second countable Hausdorff space are obtained.