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On the Reflectivity and Coreflectivity of L-Fuzzifying Topological Spaces in L-Topological Spaces

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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.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    De Xue Zhang

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  1. De Xue Zhang
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Correspondence to De Xue Zhang.

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This work is supported by the Natural Science Foundation of China, the Foundation for Fellows Returned from Abroad and the Mathematical Center of the Education Ministry of China

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Zhang, D.X. On the Reflectivity and Coreflectivity of L-Fuzzifying Topological Spaces in L-Topological Spaces. Acta Math Sinica 18, 55–68 (2002). https://doi.org/10.1007/s101140100109

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  • DOI: https://doi.org/10.1007/s101140100109

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