集值映射空间上可数强Fan Tightness  

Strong Fan Tightness on Multifunction Spaces

作　　者：郭先一[1] 李祖泉[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2010年第1期23-25,80,共4页Journal of Hangzhou Normal University(Natural Science Edition)

摘　　要：讨论了连续集值映射空间在赋予紧开拓扑下的可数强fan tightness的等价条件,利用可数开k覆盖列给出了集值映射族Ck(X,R)的可数强fan tightness的刻画,获得了空间X与Ck(X,R)的对偶定理,将单值连续映射空间的某些结果推广到连续集值映射空间.This paper has discussed the equivalent conditions of countable strong fan tightness on multifunction spaces with compact-open topology, and given the characteristics of countable strong fan tightness on continuous multifunction family Ck （X,R） by countable open k-cover sequnces, obtained a dual theorem about spaces X and Ck （X,R）, and generalized some results of continuous single-valued function spaces to continuous multifunction spaces.

关 键 词：集值映射 紧开拓扑 k覆盖 可数强fan TIGHTNESS 

分 类 号：O189.1[理学—数学]