Topological Superrigidity

Details Topological Superrigidity Topological Superrigidity

2011-10-10

arxiv.org/abs/1110.2041v2

Mathematics

Group Theory

Updated the statement of the topological super rigidity theorem to cover the case of CAT(0) fundamental groups

Scientific paper

The geometric superrigidity theorem states broadly, that for $\Gamma$ in a wide class of co-compact lattices, a non-constant, equivariant, harmonic map, with target in a suitable non-positively curved manifold is a totally geodesic embedding up to renormalisation. In this paper we propose a topological analogue: for a wide class of manifolds every codimension-1, $\pi_1$-injective map is a finite cover of an embedding up to homotopy.

Affiliated with

Also associated with

No associations

Rating

Topological Superrigidity 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 Topological Superrigidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Superrigidity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-147265