Countable Models of Complete Ordered Theories


Zambarnaya T.S. Baizhanov B.S.
October 2023Pleiades Publishing

Doklady Mathematics
2023#108Issue 2343 - 345 pp.

Abstract: The article consists of observations regarding complete theories of countable signatures and their countable models. We provide a construction of a countable linearly ordered theory that has the same number of countable non-isomorphic models as the given countable, not necessarily linearly ordered, theory.

linear order , number of countable models , Vaught’s conjecture

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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Suleyman Demirel University, Kaskelen, Kazakhstan

Institute of Mathematics and Mathematical Modeling
Suleyman Demirel University

10 лет помогаем публиковать статьи Международный издатель

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