On almost omega-categoricity of weakly o-minimal theories

Authors

Aizhan Altayeva Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University
Beibut Kulpeshov Kazakh British Technical University

almost $\omega$-categoricity, weak o-minimality, convexity rank, binary theory.

Here we prove that weakly o-minimal theories of finite convexity rank having less than $2^{\omega}$ countable models are almost $\omega$-categorical.