(α,β)-γ-正则开集和(α,β)-γ-极不连通空间  

(α,β)-γ-regular-open sets and(α,β)-γ-extremally disconnected spaces

作　　者：吴耀强[1] WU Yaoqiang(School of Sciences and Arts,Suqian University,Suqian 223800,China)

机构地区：[1]宿迁学院文理学院,江苏宿迁223800

出　　处：《安徽大学学报（自然科学版）》2022年第5期1-6,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(12101441);宿迁市指导性科技计划项目(Z2021131)。

摘　　要：基于(α,β)-γ-开集给出(α,β)-γ-正则开集的概念,讨论了(α,β)-γ-正则开集的一些基本性质.然后给出了(α,β)-γ-极不连通空间和(α,β)-γ-超连通空间概念,并利用(α,β)-γ-正则开集得到(α,β)-γ-极不连通空间的拓扑刻画.In this paper,a new class of sets by utilizing the concept of(α,β)-γ-open sets was introduced,which was called(α,β)-γ-regular open sets in topological spaces,their some properties were discussed.Furthermore,the concepts of two new spaces were given,which were called(α,β)-γ-extremally disconnected spaces and(α,β)-γ-hyperconnected spaces,respectively.Finally,several characterization theorems of(α,β)-γ-extremally disconnected spaces and(α,β)-γ-hyperconnected spaces were established.

关 键 词：(α β)-γ-开集 (α β)-γ-正则开集 (α β)-γ-极不连通空间 (α β)-γ-超连通空间 

分 类 号：O189.11[理学—数学]