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Piecewise Monotonicity for Unary Functions in o-Stable Groups

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Algebra and Logic Aims and scope

Unary functions definable in o-stable ordered groups of nonvaluational type are studied. Such functions are proved to be piecewise monotone and continuous.

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Authors and Affiliations

  1. Satpaev Technical University, Institute of Mathematics and Mathematical Modeling, Alma-Ata, Kazakhstan

    V. V. Verbovskiy

  2. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. B. Dauletiyarova

  3. Kazakh-British Technical University, Alma-Ata, Kazakhstan

    A. B. Dauletiyarova

Authors
  1. V. V. Verbovskiy
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  2. A. B. Dauletiyarova
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Corresponding authors

Correspondence to V. V. Verbovskiy or A. B. Dauletiyarova.

Additional information

V. V. Verbovskiy and A. B. Dauletiyarova are supported by SC MES RK, grant No. AP09259295.

Translated from Algebra i Logika, Vol. 60, No. 1, pp. 23-38, January-February, 2021. https://doi.org/10.33048/alglog.2021.60.102

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Verbovskiy, V.V., Dauletiyarova, A.B. Piecewise Monotonicity for Unary Functions in o-Stable Groups. Algebra Logic 60, 15–25 (2021). https://doi.org/10.1007/s10469-021-09624-0

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  • DOI: https://doi.org/10.1007/s10469-021-09624-0

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