Hausdorff空间Borelσ-代数上的集值集函数的Alexandroff型定理  

The Alexandroff Type Theorem for Set Multifunctions Defined on a Borelσ-algebra of Hausdorff Space

作　　者：孙荣[1,2] SUN Rong(School of Mathematics and Statistics,Chongqing Technology and Business Universty,Chongqing 400067,China;Chongqing Key Laboratory for Applied Statistics for Social Economy,Chongqing Technology and Business Universty,Chongqing 400067,China)

机构地区：[1]重庆工商大学数学与统计学院,重庆400067 [2].重庆工商大学社会经济应用统计重庆市重点实验室,重庆400067

出　　处：《重庆工商大学学报（自然科学版）》2020年第3期75-80,共6页Journal of Chongqing Technology and Business University:Natural Science Edition

基　　金：国家社会科学基金项目资助(19BTJ020).

摘　　要：在比Gavrilut等学者提出的更为广义的紧致条件的基础上,进一步研究了集值集函数的抽象正则性,研究了抽象正则性与连续性等性质之间的关系,以及在局部紧第二可数Hausdorff空间Borelσ-代数上的集值集函数的Alexandroff型定理。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 Borelσ-algebra of a locally compact second countable Hausdorff space are obtained.

关 键 词：集值集函数 HAUSDORFF空间 Alexandroff型定理 紧系 抽象正则性 

分 类 号：O174.12[理学—数学]