On minimal flows. definably amenable groups, and o-minimality
Logic
2015-04-06 v1 Dynamical Systems
Group Theory
Abstract
We study definably amenable groups in NIP theories, and answer a question of Newelski (and also of Chernikov-Simon), by giving an example in the o-minimal context where weak generic types do not coincide with almost periodic types, equivalently where the union of the minimal subflows of suitable type spaces is not closed. We give other positive results in this o-minimal context.
Cite
@article{arxiv.1504.00875,
title = {On minimal flows. definably amenable groups, and o-minimality},
author = {Anand Pillay and Ningyuan Yao},
journal= {arXiv preprint arXiv:1504.00875},
year = {2015}
}
Comments
23 pages