Forty-plus annotated questions about large topological groups
General Topology
2007-09-03 v3
Abstract
This is a selection of open problems dealing with ``large'' (non locally compact) topological groups and concerning extreme amenability (fixed point on compacta property), oscillation stability, universal minimal flows and other aspects of universality, and unitary representations.
Cite
@article{arxiv.math/0512564,
title = {Forty-plus annotated questions about large topological groups},
author = {Vladimir Pestov},
journal= {arXiv preprint arXiv:math/0512564},
year = {2007}
}
Comments
11 pages, LaTeX with macros, an invited contribution to the second edition of Open Problems In Topology (Elliott Pearl, editor), to be published by Elsevier Science in 2007. Comparing to version 2: comments on question 2 expanded, comments on recent developments around questions 17 and 18, a new question inserted between questions 40 and 41, and "forty" in the title became "forty-plus"