The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R)

Details The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R) The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R)

2012-02-07

arxiv.org/abs/1202.1365v1

Mathematics

Geometric Topology

27 pages, 6 figures

Scientific paper

We give a complete description of the closure of the space of one-generator closed subgroups of PSL2(R) for the Chabauty topology, by computing explicitly the matrices associated with elements of Aut(D) = PSL2(R), and finding quantities parametrizing the limit cases. Along the way, we investigate under what conditions sequences of maps transform convergent sequences of closed subsets of the domain into convergent sequences of closed subsets of the range. In particular, this allows us to compute certain geometric limits of PSL2(R) only by looking at the Hausdorff limit of some closed subsets of C.

Affiliated with

Also associated with

No associations

Rating

The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R) 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 Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Space of Geometric Limits of One-generator Closed Subgroups of PSL2(R) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578948