Geodesic
On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories
Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 39-48 
K. Zh. Kudaibergenov. On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories. Matematičeskie trudy, Tome 18 (2015) no. 2, pp. 39-48. http://geodesic.mathdoc.fr/item/MT_2015_18_2_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove that o-minimality is not a model-theoretical property in the sense of Peretyat’kin. We also prove that existence of a prime models need not be preserved under a passage between mutually interpretable theories.

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