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k-systems, k-networks and k-covers

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Abstract

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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Author notes

  1. Shou Lin

    Present address: Department of Mathematics, Ningde Teachers College, Ningde, 352100, P.R. China

Authors and Affiliations

  1. Department of Mathematics, Zhangzhou Teachers’ College, Zhangzhou, 363000, P.R. China

    Jinjin Li

  2. Department of Mathematics, Fujian Normal University, Fuzhou, 350007, P.R. China

    Shou Lin

Authors
  1. Jinjin Li
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  2. Shou Lin
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Li, J., Lin, S. k-systems, k-networks and k-covers. Czech Math J 56, 239–245 (2006). https://doi.org/10.1007/s10587-006-0014-8

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  • DOI: https://doi.org/10.1007/s10587-006-0014-8

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