吉林大学学报（理学版）2024，Vol.62Issue(1)：13-19,7.DOI:10.13413/j.cnki.jdxblxb.2023174
拓扑空间中的理想收敛
Ideal Convergence in Topological Space
摘要
Abstract
We used an ideal convergence structure to solve the characterization problem of directed topology,and provided necessary and sufficient conditions for the topological transformation of ideal S limits and ideal generalized S limits.The results show that the directed topology,the ideal S limit topology and the ideal generalized S limit topology are the same in T0 topological spaces.The ideal S convergence in a directed space is topological if and only if it is a c-space.The ideal generalized S convergence in a directed space is topological if and only if it is a locally strongly compact space.关键词
理想S极限/理想广义S极限/c-空间/局部强紧空间/定向拓扑Key words
ideal S limit/ideal generalized S limit/c-space/locally strongly compact space/directed topology分类
数理科学引用本文复制引用
王武,张舜..拓扑空间中的理想收敛[J].吉林大学学报（理学版）,2024,62(1):13-19,7.基金项目
天津市教委科研计划项目(批准号:2023KJ281)和高等学校大学数学教学研究与发展中心教改项目(批准号:CMC20210115). （批准号:2023KJ281）
