Moore-Smith Convergence in L-Fuzzifying Topological Spaces
Received:April 14, 2010  Revised:April 18, 2011
Key Words: $L$-fuzzifying topology   $L$-fuzzifying filter   $L$-fuzzifying net   $L$-fuzzifying generalized convergence space   topological category   cartesian-closed.  
Fund Project:Supported by National Natural Science Foundation of China (Grant No.10926055), the Foundation of Hebei Province (Grant Nos.A2010000826; Z2010297) and Foundation of Shijiazhuang University of Economics (Grant No.XN201003).
Author NameAffiliation
Wei YAO College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China
College of Science, Hebei University of Science and Technology, Hebei 050018, P. R. China 
Ling Xia LU School of Mathematics and Science, Shijiazhuang University of Economics, Hebei 050031, P. R. China 
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Abstract:
      This paper presents a definition of $L$-fuzzifying nets and the related $L$-fuzzifying generalized convergence spaces. The Moore-Smith convergence is established in $L$-fuzzifying topology. It is shown that the category of $L$-fuzzifying generalized convergence spaces is a cartesian-closed topological category which embeds the category of $L$-fuzzifying topological spaces as a reflective subcategory.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.05.002
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