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  1.  37
    Binary types in ℵ0‐categorical weakly o‐minimal theories.Beibut Sh Kulpeshov - 2011 - Mathematical Logic Quarterly 57 (3):246-255.
    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, Weinheim.
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  2.  22
    Minimality conditions on circularly ordered structures.Beibut Sh Kulpeshov & H. Dugald Macpherson - 2005 - Mathematical Logic Quarterly 51 (4):377-399.
    We explore analogues of o-minimality and weak o-minimality for circularly ordered sets. Much of the theory goes through almost unchanged, since over a parameter the circular order yields a definable linear order. Working over ∅ there are differences. Our main result is a structure theory for ℵ0-categorical weakly circularly minimal structures. There is a 5-homogeneous example which is not 6-homogeneous, but any example which is k-homogeneous for some k ≥ 6 is k-homogeneous for all k.
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  3.  21
    On ℵ0‐categorical weakly circularly minimal structures.Beibut Sh Kulpeshov - 2006 - Mathematical Logic Quarterly 52 (6):555-574.
    We continue exploring analogues of o-minimality and weak o-minimality for circularly ordered sets. The main result is a description of ℵ0-categorical 1-transitive non-primitive weakly circularly minimal structures of convexity rank 1 up to binarity.
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  4.  8
    On weakly circularly minimal groups.Beibut Sh Kulpeshov & Viktor V. Verbovskiy - 2015 - Mathematical Logic Quarterly 61 (1-2):82-90.
    Here we study properties of weakly circularly minimal cyclically ordered groups. The main result of the paper is that any weakly circularly minimal cyclically ordered group is abelian.
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