
arXiv: 1905.10673
AbstractAnswering a question of Cifú Lopes, we give a syntactic characterization of those continuous sentences that are preserved under reduced products of metric structures. In fact, we settle this question in the wider context of general structures as introduced by the second author.
reduced product, general structure, Ultraproducts and related constructions, FOS: Mathematics, Continuous model theory, model theory of metric structures, Mathematics - Logic, Interpolation, preservation, definability, Logic (math.LO)
reduced product, general structure, Ultraproducts and related constructions, FOS: Mathematics, Continuous model theory, model theory of metric structures, Mathematics - Logic, Interpolation, preservation, definability, Logic (math.LO)
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