omega-Convergence theory of filters in Lomega -spaces

In this paper, an omega-convergence theory of filters in an Lomega-space is established. By means of the omega-convergence theory, some important characterizations with respective to the omega-closed sets, omega T 2 separation and (omega 1, omega 2)-continuous mappings are obtained. Moreover, the mu...

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Bibliographic Details
Published in:Fuzzy optimization and decision making 2008-12, Vol.7 (4), p.351-360
Main Authors: Chen, Shui-Li, Chen, Guo-Long, Zhang, Jian-Cheng
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, an omega-convergence theory of filters in an Lomega-space is established. By means of the omega-convergence theory, some important characterizations with respective to the omega-closed sets, omega T 2 separation and (omega 1, omega 2)-continuous mappings are obtained. Moreover, the mutual relationships among omega-convergence of molecular nets, omega-convergence of ideals and omega-convergence of filters are given.
ISSN:1568-4539
DOI:10.1007/s10700-008-9043-0