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math.LO2019★ 2 cited
The almost sure theory of finite metric spaces
Isaac Goldbring, Bradd Hart, Alex Kruckman
We establish an approximate zero-one law for sentences of continuous logic over finite metric spaces of diameter at most . More precisely, we axiomatize a complete metric theory…
math.LO2019★ 4 cited
Continuous Sentences Preserved Under Reduced Products
Isaac Goldbring, H. Jerome Keisler
Answering 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 s…