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EUSFLAT
2013

Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces

4 years 2 days ago
Applications of Categorical Fixed-basis Fuzzy Topological Spaces to A-valued Spaces
As an application of the dual equivalence between the category of L-spatial C-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.
Mustafa Demirci
Added 20 May 2015
Updated 20 May 2015
Type Journal
Year 2013
Where EUSFLAT
Authors Mustafa Demirci
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