On universal minimal compact G-spaces

Details On universal minimal compact G-spaces On universal minimal compact G-spaces

2000-06-10

arxiv.org/abs/math/0006081v1

Mathematics

General Topology

5 pages

Scientific paper

For every topological group G one can define the universal minimal compact G-space X=M_G characterized by the following properties: (1) X has no proper closed G-invariant subsets; (2) for every compact G-space Y there exists a G-map X-->Y. If G is the group of all orientation-preserving homeomorphisms of the circle S^1, then M_G can be identified with S^1 (V. Pestov). We show that the circle cannot be replaced by the Hilbert cube or a compact manifold of dimension >1. This answers a question of V. Pestov. Moreover, we prove that for every topological group G the action of G on M_G is not 3-transitive.

Affiliated with

Also associated with

No associations

Rating

On universal minimal compact G-spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On universal minimal compact G-spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On universal minimal compact G-spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155481