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On ℵ 0 ‐categorical weakly circularly minimal structures
Author(s) -
Kulpeshov Beibut Sh.
Publication year - 2006
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200610014
Subject(s) - mathematics , categorical variable , transitive relation , convexity , rank (graph theory) , combinatorics , pure mathematics , statistics , financial economics , economics
We continue exploring analogues of o‐minimality and weak o‐minimality for circularly ordered sets. The main result is a description of ℵ 0 ‐categorical 1‐transitive non‐primitive weakly circularly minimal structures of convexity rank 1 up to binarity (Theorems 4.4 and 4.5). (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)