Binary types in ℵ0‐categorical weakly o‐minimal theories
Mathematical Logic Quarterly 57 (3):246-255 (2011)
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 . © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, WeinheimDOI
10.1002/malq.200910123
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Citations of this work
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.
References found in this work
Weakly o-minimal structures and some of their properties.B. Sh Kulpeshov - 1998 - Journal of Symbolic Logic 63 (4):1511-1528.
On ℵ0-categorical weakly o-minimal structures.B. Herwig, H. D. Macpherson, G. Martin, A. Nurtazin & J. K. Truss - 1999 - Annals of Pure and Applied Logic 101 (1):65-93.
Expansion of a model of a weakly o-minimal theory by a family of unary predicates.Bektur Sembiuly Baizhanov - 2001 - Journal of Symbolic Logic 66 (3):1382-1414.
Criterion for binarity of ℵ 0 -categorical weakly o-minimal theories.B. Sh Kulpeshov - 2007 - Annals of Pure and Applied Logic 145 (3):354-367.
