在θ-复形中讨论S(n)-闭空间与S(n)-θ-闭空间之间的关系  

Studies on the Relations Between S(n)-closed Space and S(n)-θ-closed Space in θ-complex

作　　者：潘虹[1] 王树泉[2] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000 [2]曲阜师范大学数学科学学院,山东日照276826

出　　处：《信阳师范学院学报（自然科学版）》2014年第4期496-498,共3页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金青年基金项目(11201400);河南省基础与前沿技术研究计划项目(132300410056);信阳师范学院校青年基金项目(20120217)

摘　　要：给出了一类特殊拓扑空间—θ-复形的概念,在θ-复形中讨论了S(n)-闭空间与S(n)-θ-闭空间之间的关系,证明了如果K是S(n)-闭的θ-复形,则K可嵌入S(n)-θ-闭空间中.所得结果回答了Dikranjan与Giuli所提出的公开问题.A specific topological space-θ-complex was introduced, and the relations between S（ n）-closed space and S（ n）-θ-closed space were discussed in θ-complex. It was proved that if K is a θ-complex which is S（ n）-closed , then K can be embedded in an S（ n）-θ-closed space, which gived the answer to the open problem raised by Dikranjan and Giuli.

关 键 词：S(n)-闭空间 S( n)-θ-闭空间 θ-复形 边滤子点 Tychonoff板 

分 类 号：O189.1[理学—数学]