集值映射空间上可数强Fan Tightness

Strong Fan Tightness on Multifunction Spaces

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.