Binary types in ℵ0-categorical weakly o-minimal theories

Authors

  • Beibut Sh. Kulpeshov

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    1. Institute for Problems of Informatics and Control, Ul. Pushkina 125, 050010 Almaty, Kazakhstan
    • Institute for Problems of Informatics and Control, Ul. Pushkina 125, 050010 Almaty, Kazakhstan.
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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

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