Siberian Mathematical Journal

, Volume 50, Issue 2, pp 282–301

Definable functions in the ℵ0-categorical weakly circularly minimal structures

Article

DOI: 10.1007/s11202-009-0034-3

Cite this article as:
Kulpeshov, B.S. Sib Math J (2009) 50: 282. doi:10.1007/s11202-009-0034-3

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.

Keywords

circularly ordered setweak circular minimality0-categoricityconvexity rank

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Informatics and Control Problems Institute AlmatyKazakhstanRussia