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Lovely pairs of models
2003
Annals of Pure and Applied Logic
We introduce the notion of a lovely pair of models of a simple theory T , generalizing Poizat's "belles paires" of models of a stable theory and the third author's "generic pairs" of models of an SU -rank 1 theory. We characterize when a saturated model of the theory TP of lovely pairs is a lovely pair (that is when the notion of a lovely pair is "axiomatizable"), ÿnding an analog of the nonÿnite cover property for simple theories. We show that, under these hypotheses, TP is also simple, and we
doi:10.1016/s0168-0072(03)00018-6
fatcat:lwmoglsjsjhxvd25vewo5isucu