Geodesic
Piecewise monotonicity for unary functions in $o$-stable groups
Algebra i logika, Tome 60 (2021) no. 1, pp. 23-38

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Unary functions definable in $o$-stable ordered groups of nonvaluational type are studied. Such functions are proved to be piecewise monotone and continuous.
Keywords: $o$-stable groups, unary functions. 
@article{AL_2021_60_1_a1,
     author = {V. V. Verbovskiy and A. B. Dauletiyarova},
     title = {Piecewise monotonicity for unary functions in $o$-stable groups},
     journal = {Algebra i logika},
     pages = {23--38},
     publisher = {mathdoc},
     volume = {60},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2021_60_1_a1/}
}
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V. V. Verbovskiy; A. B. Dauletiyarova. Piecewise monotonicity for unary functions in $o$-stable groups. Algebra i logika, Tome 60 (2021) no. 1, pp. 23-38. http://geodesic.mathdoc.fr/item/AL_2021_60_1_a1/