Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces
نویسنده
چکیده
As an application of the dual equivalence between the category of L-spatialC-objects and the category of L-sober C-M-L-spaces, it is shown in this paper that for a fixed augmented partially ordered set A, there exists a dual equivalence between the category of A-spatial augmented partially ordered sets and the category of A-sober A-valued spaces. Then, with regard to this duality, for a fixed (Z1,Z2)complete partially ordered set L, we establish a dual equivalence between the category of L-spatial (Z1,Z2)-complete partially ordered sets and the category of L-sober L-valued Q-spaces.
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