TY - JOUR

T1 - P∗-Combinations of Almost ω-Categorical Weakly o-Minimal Theories

AU - Kulpeshov, B. Sh

AU - Sudoplatov, S. V.

N1 - Funding Information: This research has been funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant no. AP08855544) and and the program of fundamental scientific researches of the SB RAS no. I.1.1, project no. 0314-2019-0002. Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/4

Y1 - 2021/4

N2 - We study P*-Combinations of Almost ω-Categorical Weakly o-Minimal Theories. One of natural questions in the study of such a combination is the question of preserving or weakening certain properties of initial theories. Earlier, criteria for Ehrenfeuchtness of P*-combinations of countably many ω-categorical ordered theories were obtained. Here we prove that if a P*-combination of countably many models of almost ω-categorical weakly o-minimal theories preserves weak o-minimality then it also preserves almost ω-categoricity.

AB - We study P*-Combinations of Almost ω-Categorical Weakly o-Minimal Theories. One of natural questions in the study of such a combination is the question of preserving or weakening certain properties of initial theories. Earlier, criteria for Ehrenfeuchtness of P*-combinations of countably many ω-categorical ordered theories were obtained. Here we prove that if a P*-combination of countably many models of almost ω-categorical weakly o-minimal theories preserves weak o-minimality then it also preserves almost ω-categoricity.

KW - almost ω-categoricity

KW - combination of structures

KW - weak o-minimality

UR - http://www.scopus.com/inward/record.url?scp=85108831741&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=45684038

U2 - 10.1134/S1995080221040132

DO - 10.1134/S1995080221040132

M3 - Article

AN - SCOPUS:85108831741

VL - 42

SP - 743

EP - 750

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

M1 - 8

ER -