摘要
本文从一个新的角度利用半开集引入了拟开集与强拟开集概念,进一步研究了这些概念之间的关系,并得到子空间的相关结果,最后得到它们都是连续开映射下的不变量.
In this paper,the concept of pre-open sets and strong pre-open sets by semi-open sets were introduced in a new way,the connections among semi-open sets,pre-open sets and strong pre-open sets were discussed,Furthermore some results in subspace were given through further research,Finally the theorem which the images of semi-open sets,pre-open sets and strong pre-open sets were invariant under the continuous open mapping were proved.
出处
《吉林师范大学学报（自然科学版）》
2010年第2期59-62,共4页
Journal of Jilin Normal University:Natural Science Edition
基金
宿迁学院科研基金资助项目(2010KY05)
关键词
拓扑空间
半开集
拟开集
强拟开集
连续开映射
topological space
Semi-open sets
pre-open sets
strong pre-open sets
continuous open mapping
