论文标题
对等式映射的拓扑结构的研究
A study of topological structures on equi-continuous mappings
论文作者
论文摘要
为EC（Y，Z）开发了功能空间拓扑。进行净理论研究以提供EC（Y，Z）上功能空间的分裂性和可接受性的特征。开放式拓扑和点透射式拓扑结构分别是可接受的和分裂的。定义了双重拓扑。当且仅当其双重时，发现EC（Y，Z）的拓扑是可以接受的（分解）。
Function space topologies are developed for EC(Y,Z), the class of equi-continuous mappings from a topological space Y to a uniform space Z. Properties such as splittingness, admissibility etc. are defined for such spaces. The net theoretic investigations are carried out to provide characterizations of splittingness and admissibility of function spaces on EC(Y,Z). The open-entourage topology and point-transitive-entourage topology are shown to be admissible and splitting respectively. Dual topologies are defined. A topology on EC(Y,Z) is found to be admissible (resp. splitting) if and only if its dual is so.
