Sib. Èlektron. Mat. Izv., 2021 Volume 18, Issue 1, Pages 247–254
(Mi semr1359)
This article is cited in
3 papers
Mathematical logic, algebra and number theory On almost omega-categoricity of weakly o-minimal theories A. B. Altayeva ab ,
B. Sh. Kulpeshov cd a Institute of Mathematics and Mathematical Modeling 125, Pushkin str., 050010, Almaty, Kazakhstan b Al-Farabi Kazakh National University,
71, Al-Farabi ave.,
050040, Almaty, Kazakhstan c Kazakh British Technical University,
59, Tole bi str.,
050000, Almaty, Kazakhstan d Novosibirsk State Technical University,
20, Karl Marx ave.,
630073, Novosibirsk, Russia Abstract:
Here we prove that weakly o-minimal theories of finite convexity rank having less than
$2^{\omega}$ countable models are almost
$\omega$ -categorical.
Keywords:
almost $\omega$ -categoricity, weak o-minimality, convexity rank, binary theory.
UDC:
510.67
MSC: 03C64 Received May 19, 2020 , published
March 19, 2021
Language: English
DOI:
10.33048/semi.2021.18.018
© , 2024
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