Mathematical Logic Quarterly 57 (3):246-255 (2011)
AbstractOrthogonality 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 . © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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Vaught's conjecture for quite o-minimal theories.B. Sh Kulpeshov & S. V. Sudoplatov - 2017 - Annals of Pure and Applied Logic 168 (1):129-149.
Vaught's conjecture for weakly o-minimal theories of convexity rank 1.A. Alibek, B. S. Baizhanov, B. Sh Kulpeshov & T. S. Zambarnaya - 2018 - Annals of Pure and Applied Logic 169 (11):1190-1209.
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