集值映射空间与超空间的继承稠密度和继承Lindelf度

On Hereditary Density and Hereditary Lindelf Degree of Multifunction Spaces and Hyperspaces

利用连续集值赋值映射和弱拓扑讨论了集值映射空间的继承稠密度和继承Lindelf度,获得了点态收敛拓扑空间p(X)上hd(p(X))和hl(p(X))与基本空间X的对偶性以及紧开拓扑空间k(X)上hd(k(X))和hl(k(X))与基本空间X的对偶性,推广了单值连续集值映射空间k(X)的相关结论.

This paper discused the hereditary density and the hereditary Lindelof degree of multifunction spaces by means of evaluation multifunction and weat topology, obtained two dualities of point wise convergent topological space Ck （t5） with basic X and compact-open topological space Ck （X） with basic X about hd（Cp （X））, hl（Cp （X）） and hd（Ck （X））, hl（Ck （X））. These results extended related conclusions of function space Ck （X）.