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ω-Convergence theory of filters in Lω -spaces

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Abstract

In this paper, an ω-convergence theory of filters in an Lω-space is established. By means of the ω-convergence theory, some important characterizations with respective to the ω-closed sets, ω T 2 separation and (ω 1, ω 2)-continuous mappings are obtained. Moreover, the mutual relationships among ω-convergence of molecular nets, ω-convergence of ideals and ω-convergence of filters are given.

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Authors and Affiliations

  1. School of Science, Jimei University, Xiamen, Fujian, 361021, People’s Republic of China

    Shui-Li Chen

  2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian, 350002, People’s Republic of China

    Guo-Long Chen

  3. Department of Mathematics, Quanzhou Normal University, Quanzhou, Fujian, 362000, People’s Republic of China

    Jian-Cheng Zhang

Authors
  1. Shui-Li Chen
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  2. Guo-Long Chen
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  3. Jian-Cheng Zhang
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Correspondence to Shui-Li Chen.

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Chen, SL., Chen, GL. & Zhang, JC. ω-Convergence theory of filters in Lω -spaces. Fuzzy Optim Decis Making 7, 351–360 (2008). https://doi.org/10.1007/s10700-008-9043-0

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  • DOI: https://doi.org/10.1007/s10700-008-9043-0

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