Search results for 'Bektur Sembiuly Baizhanov' (try it on Scholar)

  1. Bektur Sembiuly Baizhanov (2001). Expansion of a Model of a Weakly o-Minimal Theory by a Family of Unary Predicates. Journal of Symbolic Logic 66 (3):1382-1414.score: 870.0
    A subset A $\subseteq$ M of a totally ordered structure M is said to be convex, if for any a, b $\in A: [a . A complete theory of first order is weakly o-minimal (M. Dickmann [D]) if any model M is totally ordered by some $\emptyset$ -definable formula and any subset of M which is definable with parameters from M is a finite union of convex sets. We prove here that for any model M of a weakly o-minimal theory (...)
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  2. Bektur Baizhanov & John T. Baldwin (2004). Local Homogeneity. Journal of Symbolic Logic 69 (4):1243 - 1260.score: 240.0
    We study the expansion of stable structures by adding predicates for arbitrary subsets. Generalizing work of Poizat-Bouscaren on the one hand and Baldwin-Benedikt-Casanovas-Ziegler on the other we provide a sufficient condition (Theorem 4.7) for such an expansion to be stable. This generalization weakens the original definitions in two ways: dealing with arbitrary subsets rather than just submodels and removing the 'small' or 'belles paires' hypothesis. We use this generalization to characterize in terms of pairs, the 'triviality' of the geometry on (...)
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  3. Bektur Baizhanov, John T. Baldwin & Saharon Shelah (2005). Subsets of Superstable Structures Are Weakly Benign. Journal of Symbolic Logic 70 (1):142 - 150.score: 240.0
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