A Novel Framework for Lim-inf Convergence in Posets  

作　　者：Bin ZHAO Jing LU 

机构地区：[1]School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第5期953-962,共10页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11531009,12101383);the Fundamental Research Funds for the Central Universities(Grant No.GK202103006)。

摘　　要：In this paper,we give a novel framework for lim-inf convergence in posets through the concept of T_(0) enriched closure spaces.More precisely,we define and study Enr-convergence in T_(0) enriched closure spaces.Especially,we give a sufficient and necessary condition for Enr-convergence in T_(0) enriched closure spaces to be topological.

关 键 词：Closure opeartor lim-inf convergence Enr-convergence enriched continuous space 

分 类 号：O153.1[理学—数学]