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Uncountable categoricity for gross models
2004
Proceedings of the American Mathematical Society
A model M is said to be gross if all infinite definable sets in M have the same cardinality (as M ). We prove that if for some uncountable κ, T has a unique gross model of cardinality κ, then for any uncountable κ, T has a unique gross model of cardinality κ.
doi:10.1090/s0002-9939-04-07451-9
fatcat:xcedc2fnkna3zc64mo6m7hbooy