摘要
仿紧性是分明拓扑学中的一个重要概念,如何合理定义LF拓扑中的仿紧性是一引人注目的课题。基于良紧性的几何刻划[4],文[3]和文[2]分别引入F拓扑中的局部有限族和仿紧性。文[2]对弱诱导的仿紧空间进行了比较深入的研究。但[2]和[3]的讨论还没有涉及到仿紧性的可乘性、分离性等问题。此外[2]引入了另一种局部有限性质:
In this paper, we defined paracompactness and strong paracompactness in L-Fuzzy topology spaces, and discussed the property of paracompactness and strong paracompactness. Strong paracompactness has good property: it's hereditary respect to closed subsets, and to closed subspaces, it's L—good extension, the product of strong paracompactness and N—compactness is strong paracompactness, strong paracompaetness space with strong Hausdorff property is strong normal space.
出处
《模糊系统与数学》
CSCD
1990年第1期88-94,共7页
Fuzzy Systems and Mathematics
