局部S-闭空间的某些性质  

Some Natures of Local S-closed Space

作　　者：欧阳军[1] 董博[2] 周景新[1] 

机构地区：[1]北华大学数学学院,吉林吉林132033 [2]厦门大学数学科学学院,福建厦门361005

出　　处：《北华大学学报（自然科学版）》2008年第3期193-196,共4页Journal of Beihua University（Natural Science）

基　　金：吉林省教育厅科研专项基金[200531]

摘　　要：在已有结果的基础上进一步讨论了局部S-闭空间的性质，得到了极不连通的局部H（i）空间是局部S-闭的；局部S-闭的巳空间是极不连通和局部紧的；拓扑空间是局部S-闭的当且仅当它的半正则化是局部S-闭的．The graceful equivalence definition of S-closed space and the concept of local S-closed space with some important natures are given in reference. The nature of local S-closed space will be discussed deeply. The primary result is that extremely disconnected local H（i）-space is equal to local S-closed space; local S-closed is extremely disconnected and the topology space is local S-closed if and only if the semi-regularity of it is local S-closed.

关 键 词：S-闭子集 正则开集 极不连通空间 P∑空间 T^3S空间 

分 类 号：O189.1[理学—数学]