Moore-Smith Convergence in L-Fuzzifying Topological Spaces  

作　　者：Wei YAO1,2, Ling Xia LU3 1. College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi 710062, P. R. China 2. College of Science, Hebei University of Science and Technology, Hebei 050018, P. R. China 3. School of Mathematics and Science, Shijiazhuang University of Economics, Hebei 050031, P. R. China 

出　　处：《Journal of Mathematical Research and Exposition》2011年第5期770-780,共11页数学研究与评论（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No.10926055);the Foundation of Hebei Province (Grant Nos. A2010000826; Z2010297);Foundation of Shijiazhuang University of Economics (GrantNo. XN201003)

摘　　要：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 cartesianclosed topological category which embeds the category of L-fuzzifying topological spaces as a reflective subcategory.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 cartesianclosed topological category which embeds the category of L-fuzzifying topological spaces as a reflective subcategory.

关 键 词：L-fuzzifying topology L-fuzzifying filter L-fuzzifying net L-fuzzifying generalized convergence space topological category cartesian-closed. 

分 类 号：O189.11[理学—数学]