This article is cited in 4 papers

Maximality of the countable spectrum in small quite $o$-minimal theories

B. Sh. Kulpeshov<sup>abc

a</sup> Kazakh-British Technical University
^b International Information Technology University
^c Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan

Abstract: We give a criterion for the countable spectrum to be maximal in small binary quite $o$-minimal theories of finite convexity rank.

Keywords: weak $o$-minimality, quite $o$-minimality, countable spectrum, convexity rank.

UDC: 510.67

Received: 27.10.2017
Revised: 09.07.2019

DOI: 10.33048/alglog.2019.58.204

 English version: Algebra and Logic, 2019, 58:2, 137–143

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