, Volume 50, Issue 2, pp 282-301
Date: 21 Apr 2009

Definable functions in the ℵ0-categorical weakly circularly minimal structures

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Abstract

We continue studying the analogs of o-minimality and weak o-minimality for circularly ordered sets. We present a complete characterization of the behavior of unary definable functions in an ℵ0-categorical 1-transitive weakly circularly minimal structure. Using it, we describe the ℵ0-categorical 1-transitive nonprimitive weakly circularly minimal structures of convexity rank greater than 1 up to binarity.

Original Russian Text Copyright © 2009 Kupleshov B. Sh.
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Almaty. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 2, pp. 356–379, March–April, 2009.