CAJ | 학술논문

万方数据

信阳师范学院学报（自然科学版） 신양사범학원학보（자연과학판）
JOURNAL OF XINYANG NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2014年 4期 496-498 ,共3页

潘虹%王树泉潘虹%王樹泉

반홍%왕수천

S( n)-闭空间%S( n)-θ-闭空间%θ-复形%边滤子点%Tychonoff板 S( n)-閉空間%S( n)-θ-閉空間%θ-複形%邊濾子點%Tychonoff闆
S( n)-폐공간%S( n)-θ-폐공간%θ-복형%변려자점%Tychonoff판
S( n)-closed space%S( n)-θ-closed space%θ-complex%limbic filter point%Tychonoffplank

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。
급출료일류특수탁복공간-θ-복형적개념，재θ-복형중토론료S（ n）-폐공간여S（ n）-θ-폐공간지간적관계，증명료여과K시S（ n）-폐적θ-복형，칙K가감입S（ n）-θ-폐공간중。소득결과회답료Dikranjan여Giuli소제출적공개문제。
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.