Universal flows of closed subgroups of $S_{\infty}$ and relative extreme amenability
Logic
2013-02-19 v3 Combinatorics
Dynamical Systems
Group Theory
Abstract
This paper is devoted to the study of universality for a particular continuous action naturally attached to certain pairs of closed subgroups of . It shows that three new concepts, respectively called relative extreme amenability, relative Ramsey property for embeddings, and relative Ramsey property for structures, are relevant in order to understand this property correctly. It also allows to provide a partial answer to a question posed by Kechris, Pestov and Todorcevic.
Keywords
Cite
@article{arxiv.1201.1472,
title = {Universal flows of closed subgroups of $S_{\infty}$ and relative extreme amenability},
author = {Lionel Nguyen Van Thé},
journal= {arXiv preprint arXiv:1201.1472},
year = {2013}
}
Comments
13 pages. Updated references, some statements made more precise. arXiv admin note: text overlap with arXiv:1201.1270