杭州师范大学学报（自然科学版）Issue(2)：186-191,6.DOI:10.3969/j.issn.1674-232X.2014.02.013
局部有限超空间的弱紧性和第一可数性
Weakly Compactness and First Countability of Locally Finite Hyperspaces
吉乐 1李祖泉1
作者信息
- 1. 杭州师范大学理学院，浙江 杭州 310036
- 折叠
摘要
Abstract
This paper discusses the equivalence of Kuratowski-Painlevé-convergence and τlocfin-convergence of non-empty closed sets family CL(X) in topological space X and gives three kinds of weak compactnesses of locally finite topology τlocfin endowed by CL(X) ,namely ,ω-boundedness , -compactness and -psedocompact .It finally obtains the egu valent proof for (CL(X) ,τlocfin ) satifying first countability axiom by the decomposition of space X .关键词
超空间/局部有限拓扑/Kuratowski-Painlevé-收敛/ω-有界/-紧性/-伪紧/第一可数性Key words
hyperspace/locally finite topology/Kuratowski-Painlevé-convergence/ω-bounded/compact/psedocompact/first countability分类
数理科学引用本文复制引用
吉乐,李祖泉..局部有限超空间的弱紧性和第一可数性[J].杭州师范大学学报（自然科学版）,2014,(2):186-191,6.
