关于集值映射连续选择和半连续选择的若干结果

Some Results on Continuous Selections and Semicontinuous Selections of Set-valued Mappings

给出关于集值映射连续选择和半连续选择的几个结果。其中,定理1是E.Michael相应结果的改进,定4是M.M.oban相应结果的推广。

Some results on continuous selections and semicontinuous selections of Set-valued mappings are given in this paper,where theorem 1 is an improvement of E.Michael's corresponding result,and theorem 4 is a generalization of M.M. oban's result.