节点文献
关于相对拓扑性质的某些探讨
Study for Relative Topologies
【摘要】 本文对相对正规性,可弱连续嵌入以及潜在紧空间等几个相对拓扑性质进行了初步研究,分别给出了正规空间在更大的拓扑空间中正规的条件和Tychonoff空间可弱连续嵌入到更大的Tychonoff空间的条件,同时证明了拓扑空间的潜在紧性是拓扑不变量.
【Abstract】 The article rudimentarily studies relative topological properties,especially including relative normality,weakly c-embedded and potentially compact questions.It respectively gives the condition that make a normal space normal in a larger space and a Tychonoff space weakly c-embedded in a larger Tychonoff space.At the same time,it turns out that potentially compact property of topology space is a topological invaviant.
【关键词】 相对正规性;
潜在紧空间;
可弱连续嵌入;
【Key words】 relative normality; potentially compact space; weakly c-embedded;
【Key words】 relative normality; potentially compact space; weakly c-embedded;
- 【文献出处】 吉林师范大学学报(自然科学版) ,Jilin Normal University Journal (Natural Science Edition) , 编辑部邮箱 ,2003年03期
- 【分类号】O189.1
- 【被引频次】1
- 【下载频次】69