Investigation of ordered structures of the following theories: weakly o-minimal, quasi-o-minimal, and o-stable.
Main publications:
\begin{thebibliography}{9}
\Bibitem{1}
\by John T. Baldwin
Viktor V. Verbovskiy
\paper Towards a finer classification of strongly minimal sets
\paperinfo https://doi.org/10.1016/j.apal.2023.103376
\jour Annals of Pure and Applied Logic
\yr 2024
\vol 175
\issue 2
\Bibitem{2}
\by Viktor V. Verbovskiy
\paper On definability of types and relative stability
\paperinfo https://doi.org/10.1002/malq.201600084
\jour Mathematical Logic Quarterly
\yr 2019
\vol 65
\issue 3
\pages 332-346
\Bibitem{3}
\by Viktor V. Verbovskiy
\paper O-stable ordered groups
\paperinfo https://doi.org/10.3103/S105513441201004X
\jour Siberian Advances in Mathematics
\yr 2012
\vol 22
\issue 3
\pages 50-74
\Bibitem{4}
\by Bektur S. Baizhanov
Viktor V. Verbovskiy
\paper O-Stable Theories
\paperinfo https://doi.org/10.3103/S105513441201004X
\jour Algebra and Logic
\yr 2011
\vol 50
\pages 211-225
\Bibitem{5}
\by Oleg V. Belegradek
Viktor V. Verbovskiy
Frank O. Wagner
\paper Coset-minimal groups
\paperinfo https://doi.org/10.1016/S0168-0072(02)00084-2
\jour Annals of Pure and Applied Logic
\yr 2003
\vol 121
\issue 2-3
\pages 113-143
Yu. L. Ershov, S. S. Goncharov, V. D. Mazurov, B. S. Baizhanov, B. Sh. Kulpeshov, P. E. Alaev, A. V. Vasil'ev, E. V. Vasil'ev, E. P. Vdovin, V. V. Verbovskii, A. A. Vikent'ev, D. Yu. Vlasov, M. A. Grechkoseeva, V. N. Zhelyabin, P. S. Kolesnikov, V. M. Kopytov, L. L. Maksimova, I. A. Mal'tsev, A. S. Morozov, A. A. Nikitin, E. V. Ovchinnikova, S. P. Odintsov, D. E. Pal'chunov, N. A. Peryazev, A. G. Pinus, L. N. Pobedin, A. P. Pozhidaev, B. Poizat, V. G. Puzarenko, D. O. Revin, V. N. Remeslennikov, N. S. Romanovskii, A. N. Ryaskin, S. S. Starchenko, A. A. Stepanova, S. V. Sudoplatov, E. I. Timoshenko, D. A. Tusupov, N. G. Khisamiev, V. A. Churkin, Z. Chatzidakis, M. V. Schwidefsky, K. M. Shegirov, I. P. Shestakov, “Evgenii Andreevich Palyutin (1945–2018)”, Sib. Èlektron. Mat. Izv., 16 (2019), 1–10
2018
9.
V. V. Verbovskiy, “On ordered groups of Morley o-rank”, Sib. elektron. matem. izv., 15 (2018), 314–320
V. V. Verbovskiy, “On a classification of theories without the independence property”, Mathematical Logic Quarterly, 59:1-2 (2013), 119–124 (to appear)
B. S. Baizhanov, S. V. Sudoplatov, V. V. Verbovskiy, “Conditions for non-symmetric relations of semi-isolation”, Sib. elektron. matem. izv., 9 (2012), 161–184