Siberian Mathematical Journal

, Volume 50, Issue 2, pp 282–301 | Cite as

Definable functions in the ℵ0-categorical weakly circularly minimal structures

  • B. Sh. KulpeshovEmail author


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.


circularly ordered set weak circular minimality 0-categoricity convexity rank 


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  1. 1.
    Kulpeshov B. Sh. and Macpherson H. D., “Minimality conditions on circularly ordered structures,” Math. Logic Quart., 51, No. 4, 377–399 (2005).zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Kulpeshov B. Sh., “On ℵ0-categorical weakly circularly minimal structures,” Math. Logic Quart., 52, No. 6, 555–574 (2006).zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Informatics and Control Problems Institute AlmatyKazakhstanRussia

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