TOPOLOGICAL DYNAMICS OF STABLE GROUPS
Copyright policy )TOPOLOGICAL DYNAMICS OF STABLE GROUPS
AbstractAssumeGis a group definable in a modelMof a stable theoryT. We prove that the semigroupSG(M) of completeG-types overMis an inverse limit of some semigroups type-definable inMeq. We prove that the maximal subgroups ofSG(M) are inverse limits of some definable quotients of subgroups ofG. We consider the powers of types in the semigroupSG(M) and prove that in a way every type inSG(M) is profinitely many steps away from a type in a subgroup ofSG(M).
Semigroups of transformations, relations, partitions, etc., Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), topological dynamics, stable groups, Applications of logic to group theory, Classification theory, stability, and related concepts in model theory, Ellis semigroup
Semigroups of transformations, relations, partitions, etc., Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), topological dynamics, stable groups, Applications of logic to group theory, Classification theory, stability, and related concepts in model theory, Ellis semigroup
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