This article is cited in 10 papers

Binarity of almost $\omega$-categorical quite $o$-minimal theories

A. B. Altaeva^ab, B. Sh. Kulpeshov<sup>cd

a</sup> Al-Farabi Kazakh National University
^b Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
^c Kazakh-British Technical University
^d Novosibirsk State Technical University

Abstract: Studying the properties of almost $\omega$-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.

Keywords: almost $\omega$-categoricity, weak $o$-minimality, quite $o$-minimality, binary theory.

UDC: 510.67

MSC: 35R30

Received: 19.09.2019
Revised: 19.09.2019
Accepted: 25.12.2019

DOI: 10.33048/smzh.2020.61.301

 English version: Siberian Mathematical Journal, 2020, 61:3, 379–390

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