Lovely Pairs and Dense Pairs of O-minimal Structures
نویسنده
چکیده
We study the theory of Lovely pairs of þ-rank one theories, in particular O-minimal theories. We show that the class of א0-saturated dense pairs of O-minimal structures studied by van den Dries [6] agrees with the corresponding class of lovely pairs. We also prove that the theory of lovely pairs of O-minimal structures is super-rosy of rank ≤ ω.
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تاریخ انتشار 2007