Non-essential expansions of quite o-minimal theories

Non-essential expansions of quite o-minimal theories Full article

Journal

Lobachevskii Journal of Mathematics
ISSN: 1995-0802 , E-ISSN: 1818-9962

Output data

Year: 2024, Volume: 45, Number: 3, Pages: 1175-1183 Pages count : 9 DOI: 10.1134/S1995080224600687

Tags

weak o-minimality, quite o-minimality, convexity rank, Ehrenfeucht theory, non-essential expansion of a theory.

Authors

Кулпешов Б.Ш. ^1,2,3 , Судоплатов С.В. ^2,4

Affiliations

1	Kazakh–British Technical University, Almaty, 050000 Kazakhstan
2	Novosibirsk State Technical University, Novosibirsk, 630073 Russia
3	Institute of Mathematics and Mathematical Modeling, Almaty, 050010 Kazakhstan
4	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090 Russia

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0012

We study constant expansions of quite o-minimal theories. We prove that any nonessential expansion (expansion by finitely many new constants) of a quite o-minimal Ehrenfeucht theory of finite convexity rank preserves Ehrenfeuchtness. We also establish that the countable spectrum of such an expanded theory is not decreased.

Кулпешов Б.Ш. , Судоплатов С.В.
Non-essential expansions of quite o-minimal theories
Lobachevskii Journal of Mathematics. 2024. V.45. N3. P.1175-1183. DOI: 10.1134/S1995080224600687 WOS Scopus РИНЦ OpenAlex

Submitted:	Jun 25, 2023
Accepted:	Jan 15, 2024
Published print:	Jul 19, 2024
Published online:	Jul 19, 2024

Web of science:	WOS:001272973100034
Scopus:	2-s2.0-85198978663
Elibrary:	68557799
OpenAlex:	W4400814147

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