可数仿紧空间的连续选择存在性特征及其应用

Characterization of Countable Paracompact Spaces by Existence of Continuous Selections and Its Applications

对正规空间的可数仿紧性用其到可分局部凸Ｆｒｅ′ｃｈｅｔ空间的下半连续闭凸集值映射的连续选择存在性加以刻划，作为应用给出了包括可分Ｂａｎａｃｈ空间在内的可数仿紧性的一类扩张子。

We characterize the countable paracompactness of normal spaces by the existence of continuous selections for l s c closed convex set valued mappings on locally convex Fréchet spaces An extensor class including separable Banach spaces of countable paracompactness is given