B. Sh. Kulpeshov, “The countable spectrum of weakly o-minimal theories of finite convexity rank”, Dokl. RAN. Math. Inf. Proc. Upr., 2024, Volume 520, Number 1,Pages <nobr>43

MATHEMATICS

The countable spectrum of weakly o-minimal theories of finite convexity rank

B. Sh. Kulpeshov^ab

^a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty, Kazakhstan
^b Kazakh-British Technical University, Almaty, Kazakhstan

Abstract: Here we present a formula counting the countable spectrum of an arbitrary weakly o-minimal theory of finite convexity rank having less than 2$^\omega$ pairwise non-isomorphic countable models.

Keywords: weak o-minimality, orthogonality, Vaught’s conjecture, countable model, convexity rank.

UDC: 510.67

Presented: A. L. Semenov
Received: 28.04.2024
Revised: 30.04.2024
Accepted: 28.10.2024

DOI: 10.31857/S2686954324060072