LF-拓扑空间的良拟紧性  

Nice Nearly Compactness In LF Topological Spaces

作　　者：戴保华[1] 

机构地区：[1]青海师范大学数学系,青海西宁810008

出　　处：《数学的实践与认识》2013年第7期201-205,共5页Mathematics in Practice and Theory

摘　　要：在LF-拓扑空间中证明了拟紧的推广良拟紧对于正则闭子集是可遗传的并且是L-好的推广.在LF-半正则空间中得到了良拟紧性等价于良紧性.In this paper, the concept of nice nearly comcept space is given in LF topological spaces. We give several equivalent properties of nice nearly compact subsets,and they are used to prove that （1） nice nearly comcept space is an L-good extension ;（2） nice nearly comcept space is equivalent to nice comcept space in LF semi-regular spaces.

关 键 词：良拟紧子集 拟α^--远域族 拟r^+-覆盖 r.c-聚点 Α-网 半正则空间 

分 类 号：O189.11[理学—数学]