TOPOLOGICAL DYNAMICS OF STABLE GROUPS-Reference-Cited by-同舟云学术

TOPOLOGICAL DYNAMICS OF STABLE GROUPS

Published:2014-12 Issue:4 Volume:79 Page:1199-1223
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

NEWELSKI LUDOMIR

Abstract

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).

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference16 articles.

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