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.
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)
关键词
预拓扑空间
特殊预拓扑空间
连通性
局部连通
the pre-topological space
special pre-topological space
connectivity
local connectivity