E-combinations and closures of quite o-minimal theories

E-combinations and closures of quite o-minimal theories Full article

Conference

Sixteenth Asian Logic Conference
17-21 Jun 2019 , Nazarbayev University, Nur-Sultan

Source

Mathematical Logic, Computability, Complexity, and Randomness
Compilation, World Scientific Connect. 2025. 188 c. ISBN 978-981-98-1593-7.

Output data

Year: 2025, Pages: 65-80 Pages count : 16 DOI: 10.1142/9789819815944_0004

Tags

quite o-minimal theory, E-combination, ℵ0-categoricity, Ehrenfeuchtness, family of theories, closure, e-spectrum.

Authors

Kulpeshov B.Sh. ^1,2,3 , Sudoplatov S.V. ^3,4,5

Affiliations

1	Kazakh-British Technical University, ul. Tole bi, 59, Almaty, 050000, Kazakhstan
2	Institute of Mathematics and Mathematical Modeling, ul. Pushkina, 125, Almaty, 050010, Kazakhstan
3	Novosibirsk State Technical University, pr. K. Marx, 20, Novosibirsk, 630073, Russia
4	Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga, 4, Novosibirsk, 630090, Russia
5	Novosibirsk State University, ul. Pirogova, 1, Novosibirsk, 630090, Russia

We consider E-combinations of quite o-minimal theories and characterize preservations of ℵ0-categoricity for these combinations. We describe closures and generating sets for families of quite o-minimal theories with respect to the E-operator. Values for e-spectra of these families are found.

Kulpeshov B.S. , Sudoplatov S.V.
E-combinations and closures of quite o-minimal theories
In compilation Mathematical Logic, Computability, Complexity, and Randomness. – World Scientific Connect., 2025. – C.65-80. – ISBN 978-981-98-1593-7. DOI: 10.1142/9789819815944_0004 OpenAlex

Submitted:	Sep 16, 2019
Accepted:	Dec 15, 2020
Published print:	Dec 1, 2025
Published online:	Dec 1, 2025

OpenAlex:

W7106859963

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