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Keywords:

  • Weak o-minimality;
  • aleph-0-categorical;
  • orthogonality;
  • binarity;
  • MSC (2010) 03C64;
  • 03C35

Abstract

Orthogonality of all families of pairwise weakly orthogonal 1-types for ℵ0-categorical weakly o-minimal theories of finite convexity rank has been proved in 6. Here we prove orthogonality of all such families for binary 1-types in an arbitrary ℵ0-categorical weakly o-minimal theory and give an extended criterion for binarity of ℵ0-categorical weakly o-minimal theories (additionally in terms of binarity of 1-types). © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim