吉首大学学报（自然科学版）2026，Vol.47Issue(1)：25-28,77,5.DOI:10.13438/j.cnki.jdzk.2026.01.005
拓扑空间的强连续性
Strong Continuity of Topological Space
摘要
Abstract
Based on the convergence of directed sets,the concepts of strongly continuous top ological spaces and strong topology are introduced.It is proved that all strongly continuous spaces are continuous spaces,and counter-examples are provided to demonstrate that continuous spaces are not necessarily strongly continuous spaces.Furthermore,the insertion property of approximation relations on strongly continuous spaces is explained,and the conditions for the equivalence between strongly continuous spaces and approximation spaces are established.关键词
定向空间/连续空间/强拓扑/强连续空间Key words
directed spaces/continuous spaces/strong topology/strong continuous spaces分类
数理科学引用本文复制引用
薛洁,刘刚..拓扑空间的强连续性[J].吉首大学学报（自然科学版）,2026,47(1):25-28,77,5.基金项目
安徽省自然科学基金优秀青年项目(10040606Q) （10040606Q）
