特殊预拓扑空间的连通性与局部连通性  

The Connectivity and Local Connectivity of Several Special Pre-topological Spaces

作　　者：黄永艳[1] 

机构地区：[1]太原电力高等专科学校基础部,山西太原030013

出　　处：《内江师范学院学报》2012年第12期21-23,共3页Journal of Neijiang Normal University

基　　金：陕西省自然科学基金项目(2010JM1005)

摘　　要：讨论了多于两点的离散拓朴空间、奇偶预拓扑空间、区间套预拓扑空间等特殊的预拓扑空间的连通性与局部连通性,建立了序预拓扑空间的概念,并证明字典序预拓扑空间是连通且局部连通的.The connectivity and local connectivity of several special pre-topologieal spaces, such as the discrete pre-topological space with more than two points, the parity pre-topological space and the interval sets pre-topological space, were put under examination. Then the notion of the ordered pre-topological space was established, and the lexicographical ordered pre-topological space was proved to be connected and, to be exact, locally connected.

关 键 词：预拓扑空间 特殊预拓扑空间 连通性 局部连通 

分 类 号：O189[理学—数学]