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

On the Reflectivity and Coreflectivity of L-Fuzzifying Topological Spaces in L-Topological Spaces
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DOI:
10.1007/s101140100109
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发表时间:
2002
期刊:
Acta Mathematica Sinica
影响因子:
--
通讯作者:
Dexue Zhang
Dexue Zhang
中科院分区:
其他
文献类型:
--
作者:
Dexue Zhang

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本文证明了对所有完全分配格L,L-不分明化拓扑空间范畴可以嵌入L-拓扑空间范畴(分层Chang-Goguen空间)中,作为同时双反射和双上反射的满子范畴。
In this paper it is proved that for all completely distributive latticesL, the category ofL-fuzzifying topological spaces can be embedded in the category ofL-topological spaces (stratified Chang-Goguen spaces) as a simultaneously bireflective and bicoreflective full subcategory.