摘要
主要讨论了关于拓扑空间 Lindelo¨ f性质的一个问题 ,并得到一些结果 .如果对拓扑空间的任意单增开覆盖 ,都存在可数子覆盖 ,且是可数亚紧的 ,则是 Lindelo¨f的 .该结果是对问题的一个部分回答 .作为进一步的讨论 ,得到了遗传
A problem on Lindel o ¨f property of topology spaces is discussed and some results are obtained.If for any increasing open cover of a topology space there is a countable sub cover of it and it is countable meta compactness,it has Lindel o ¨f property.The result is a partial answer of the problem.As a result of further discussion,a sufficiency and requirement condition of hereditary lindel o ¨f property of a topology space is got.
出处
《西北建筑工程学院学报(自然科学版)》
2002年第1期59-62,共4页
Journal of Northwestern Institute of Architectural Engineering