用网族的预收敛类刻画预拓扑空间的可数性公理  

Description of the coutability axiom by using the theory of preconvergence classes of families of nets

作　　者：钟晓静[1] 

机构地区：[1]西南大学历史文化学院民族学院,重庆400715

出　　处：《山东大学学报（理学版）》2009年第6期25-28,共4页Journal of Shandong University(Natural Science)

基　　金：西南大学科研基金资助项目(SWU208022)

摘　　要：给出了预拓扑空间中第一、二可数性公理的定义,并利用网族的预收敛类的理论具体刻划满足第一、二可数性公理的预拓扑空间。The notions of the first and second coutability axioms are introduced in pretopological spaces, it is proved that a pretopological space satisfying the first or second coutability axiom is characterized by means of the theory of preconvergenee classes of families of nets.

关 键 词：预拓扑空间 预收敛类 网族 第一可数性公理 第二可数性公理 

分 类 号：O189.1[理学—数学]