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  1. Stationarily Ordered Types and the Number of Countable Models.Slavko Moconja & Predrag Tanović - 2020 - Annals of Pure and Applied Logic 171 (3):102765.
    We introduce the notions of stationarily ordered types and theories; the latter generalizes weak o-minimality and the former is a relaxed version of weak o-minimality localized at the locus of a single type. We show that forking, as a binary relation on elements realizing stationarily ordered types, is an equivalence relation and that each stationarily ordered type in a model determines some order-type as an invariant of the model. We study weak and forking non-orthogonality of stationarily ordered types, show that (...)
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  • Vaught's Conjecture for Weakly o-Minimal Theories of Convexity Rank 1.A. Alibek, B. S. Baizhanov, B. Sh Kulpeshov & T. S. Zambarnaya - 2018 - Annals of Pure and Applied Logic 169 (11):1190-1209.
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