A Novel Framework for Lim-inf Convergence in Posets

作     者：Bin ZHAO Jing LU Bin ZHAO;Jing LU

作者机构：School of Mathematics and StatisticsShaanxi Normal UniversityXi'an 710119P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2022年第38卷第5期

页      面：953-962页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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)。 

主　　题：Closure opeartor lim-inf convergence Enr-convergence enriched continuous space 

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.