Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures
Dynamical Systems
2011-11-22 v1
Abstract
It is a well-known fact, that the greatest ambit for a topological group is the Samuel compactification of with respect to the right uniformity on We apply the original destription by Samuel from 1948 to give a simple computation of the universal minimal flow for groups of automorphisms of uncountable structures using Fra\"iss\'e theory and Ramsey theory. This work generalizes some of the known results about countable structures.
Keywords
Cite
@article{arxiv.1111.4995,
title = {Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures},
author = {Dana Bartošová},
journal= {arXiv preprint arXiv:1111.4995},
year = {2011}
}
Comments
12 pages