Studying the properties of almost ω-categorical quite o-minimal theories, we prove that the arbitrary families of pairwise weakly orthogonal nonalgebraic 1-types in these theories are orthogonal. We also establish the binarity of these theories.
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To Academician Yu. L. Ershov’s 80th jubilee.
The authors were partially supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant AP05132546).
Russian Text © The Author(s), 2020, published in Sibirskii Matematicheskii Zhurnal, 2020, Vol. 61, No. 3, pp. 484–498.
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Altayeva, A.B., Kulpeshov, B.S. Binarity of Almost ω-Categorical Quite o-Minimal Theories. Sib Math J 61, 379–390 (2020). https://doi.org/10.1134/S0037446620030015
- almost ω-categoricity
- weak o-minimality
- quite o-minimality
- binary theory