The group of almost-periodic homeomorphisms of the real line

Details The group of almost-periodic homeomorphisms of the real line The group of almost-periodic homeomorphisms of the real line

2011-02-22

arxiv.org/abs/1102.4524v1

Mathematics

Group Theory

Scientific paper

We study the group of almost-periodic homeomorphisms of the real line. Our main result states that an action of a finitely generated group on the real line without global fixed point is conjugated to an almost-periodic action without almost fixed point. This is equivalent to saying that the action on the real line can be compactified to an action on a 1-dimensional lamination of a compact space, without global fixed point. As an application we give an alternative proof of Witte's theorem: an amenable left orderable group is locally indicable.

Affiliated with

Also associated with

No associations

Rating

The group of almost-periodic homeomorphisms of the real line 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 The group of almost-periodic homeomorphisms of the real line, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The group of almost-periodic homeomorphisms of the real line will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-559458