E_s-次仿紧空间

On E_s-Subparacompact Spaces

针对一些广义仿紧空间以及拓扑空间中E_s集和E_s闭集的性质,利用E_s集将次仿紧空间的概念进行了推广,得到E_s-次仿紧空间,给出了E_s-次仿紧空间的几个等价刻画,并讨论了它在E_s-映射下的部分性质.

Based on a series of generalized paracompact spaces and the properties of Es and Es-closed sets in topological spaces,this paper introduced the concept of Es-subparacompact spaces,promoting the concept of subparacompact spaces by using Es sets.In addition,several equivalents of Es-subparacompact spaces were charactered while some properties of Es-subparacompact spaces under the Es-mapping were discussed.