On model-theoretical properties in the sense of Peretyat’kin, o-minimality, and mutually interpretable theories

2016

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DOI 10.3103/s1055134416030032
Data confidence 70 medium
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Abstract

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.