Topological dynamics and definable groups
Logic
2012-01-12 v1 Dynamical Systems
General Topology
Abstract
Following the works of Newelski we continue the study of the relations between abstract topological dynamics and generalized stable group theory. We show that the Ellis theory, applied to the action of G(M) on its type space, for G an fsg group in a NIP theory, and M any model, yields the quotient G/G^00.
Cite
@article{arxiv.1201.2368,
title = {Topological dynamics and definable groups},
author = {Anand Pillay},
journal= {arXiv preprint arXiv:1201.2368},
year = {2012}
}