k-systems, k-networks and k-covers

被引:0
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作者
Jinjin Li
Shou Lin
机构
[1] Zhangzhou Teachers’ College,Department of Mathematics
[2] Fujian Normal University,Department of Mathematics
[3] Ningde Teachers College,Department of Mathematics
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关键词
-systems; -networks; -covers; -spaces; point-countable families; hereditarily closure-preserving families;
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摘要
The concepts of k-systems, k-networks and k-covers were defined by A. Arhangel’skii in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among k-systems, k-networks and k-covers are further discussed and are established by mk-systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of mk-systems.
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页码:239 / 245
页数:6
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