Every topological group is a group retract of a minimal group

Details Every topological group is a group retract of a minimal group Every topological group is a group retract of a minimal group

2006-10-06

arxiv.org/abs/math/0610226v1

Mathematics

General Topology

22 pages

Scientific paper

We show that every Hausdorff topological group is a group retract of a minimal topological group. This first was conjectured by Pestov in 1983. Our main result leads to a solution of some problems of Arhangelskii. One of them is the problem about representability of a group as a quotient of a minimal group (Problem 519 in the first edition of "Open Problems in Topology"). Our approach is based on generalized Heisenberg groups and on groups arising from group representations on Banach spaces and in bilinear mappings.

Affiliated with

Also associated with

No associations

Rating

Every topological group is a group retract of a minimal group 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 Every topological group is a group retract of a minimal group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Every topological group is a group retract of a minimal group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634475