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5A set-theoretic proof of the representation of MV-algebras by sheavesJournal of Applied Non-Classical Logics 32 (4): 317-334. 2022.In this paper, we provide a set-theoretic proof of the general representation theorem for MV-algebras, which was developed by Dubuc and Poveda in 2010. The theorem states that every MV-algebra is isomorphic to the MV-algebra of all global sections of its prime spectrum. We avoid using topos theory and instead rely on basic concepts from MV-algebras, topology and set theory.
Areas of Specialization
| Science, Logic, and Mathematics |
| Metaphysics and Epistemology |
| History of Western Philosophy |