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This article is cited in 1 scientific paper (total in 2 paper)
Mathematical logic, algebra and number theory
Expanding 1-indiscernible countably categorical weakly o-minimal theories by equivalence relations
S. S. Baizhanova, B. Sh. Kulpeshovb a Institute of Mathematics and Mathematical Modelling,
ul. Pushkina, 125,
050010, Almaty, Kazakhstan
b International Information Technology University,
ul. Manasa, 34A / ul. Zhandosova, 8A,
050040, Almaty, Kazakhstan
Abstract:
Here we investigate expansions of 1-indiscernible countably categorical weakly o-minimal structures by an equivalence relation. We present a criterion when such an expansion preserves both countable categoricity and weak o-minimality.
Keywords:
weak o-minimality, countable categoricity, convexity rank, expansion of models.
Received January 24, 2018, published February 9, 2018
Citation:
S. S. Baizhanov, B. Sh. Kulpeshov, “Expanding 1-indiscernible countably categorical weakly o-minimal theories by equivalence relations”, Sib. Èlektron. Mat. Izv., 15 (2018), 106–114
Linking options:
https://www.mathnet.ru/eng/semr903 https://www.mathnet.ru/eng/semr/v15/p106
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