Journal of Symbolic Logic 79 (4):1199-1223 (2014)
| Abstract |
AssumeGis a group definable in a modelMof a stable theoryT. We prove that the semigroupSG of completeG-types overMis an inverse limit of some semigroups type-definable inMeq. We prove that the maximal subgroups ofSG are inverse limits of some definable quotients of subgroups ofG. We consider the powers of types in the semigroupSG and prove that in a way every type inSG is profinitely many steps away from a type in a subgroup ofSG.
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| DOI | 10.1017/jsl.2014.25 |
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References found in this work BETA
On Compactifications and the Topological Dynamics of Definable Groups.Jakub Gismatullin, Davide Penazzi & Anand Pillay - 2014 - Annals of Pure and Applied Logic 165 (2):552-562.
On Type Definable Subgroups of a Stable Group.L. Newelski - 1991 - Notre Dame Journal of Formal Logic 32 (2):173-187.
Bounds in Weak Truth-Table Reducibility.Karol Habart - 1991 - Notre Dame Journal of Formal Logic 32 (2):233-241.
Citations of this work BETA
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On Some Dynamical Aspects of NIP Theories.Alireza Mofidi - 2018 - Archive for Mathematical Logic 57 (1-2):37-71.
Semigroups in Stable Structures.Yatir Halevi - 2018 - Notre Dame Journal of Formal Logic 59 (3):417-436.
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