On the Reflectivity and Coreflectivity of L-Fuzzifying Topological Spaces in L-Topological Spaces |
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| Authors: | De Xue Zhang |
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| Institution: | (1) Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China E-mail: dxzhang@scu.edu.cn, CN |
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| Abstract: | In this paper it is proved that for all completely distributive lattices L, the category of L-fuzzifying topological spaces can be embedded in the category of L-topological spaces (stratified Chang-Goguen spaces) as a simultaneously bireflective and bicoreflective full subcategory.
Received April 2, 1999, Revised January 31, 2000, Accepted February 2, 2000 |
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| Keywords: | L-topological space L-fuzzifying topological space Topological category Reflective subcategory Coreflective subcategory |
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