Meso紧空间、Hausdorff空间的映射性质  

The Mapping Property of Mesocompact Space and Hausdorff Space

作　　者：刘文虎[1] 秦宝忠[1] 

机构地区：[1]德州学院数学系,山东德州253023

出　　处：《德州学院学报》2005年第2期21-22,共2页Journal of Dezhou University

摘　　要：完备映射是拓扑映射中一种简单而重要的映射.通过研究完备映射的性质以及Hausdorff空间、Meso紧空间的结构,证明了完备映射下Hausdorff空间的性质及Meso紧空间被完备映射逆象保持,从而完善了这几种拓扑空间的性质刻画.Perfect mapping is a simple and important mapping in the topology space. According of studying the properties of perfect mapping and the structure of Hausdorff and mesocompact space, it proves the properties of Hausdorff space on perfect mapping and perfect mapping inversely preserve the mesocompact. So it has improved the depicting on properties of the spaces.

关 键 词：HAUSDORFF空间 完备映射 加细覆盖 紧子集 MESO紧空间 

分 类 号：O189[理学—数学]