This article is cited in 1 paper

Mathematical logic, algebra and number theory

Expanding 1-indiscernible countably categorical weakly o-minimal theories by equivalence relations

S. S. Baizhanov^a, B. Sh. Kulpeshov<sup>b

a</sup> Institute of Mathematics and Mathematical Modelling, ul. Pushkina, 125, 050010, Almaty, Kazakhstan
^b International Information Technology University, ul. Manasa, 34A / ul. Zhandosova, 8A, 050040, Almaty, Kazakhstan

Abstract: Here we investigate expansions of 1-indiscernible countably categorical weakly o-minimal structures by an equivalence relation. We present a criterion when such an expansion preserves both countable categoricity and weak o-minimality.

Keywords: weak o-minimality, countable categoricity, convexity rank, expansion of models.

UDC: 510.67

MSC: 03C64

Received January 24, 2018, published February 9, 2018

Language: English

DOI: 10.17377/semi.2018.15.012

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