Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology

Details Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology

2010-05-11

arxiv.org/abs/1005.1789v1

Mathematics

Geometric Topology

5 pages

Scientific paper

Suppose M is a non-compact connected n-manifold without boundary, D(M) is the group of C^infty-diffeomorphisms of M endowed with the Whitney C^infty-topology and D_0(M) is the identity connected component of D(M), which is an open subgroup in the group D_c(M) \subset D(M) of compactly supported diffeomorphisms of M. It is shown that D_c(M) is homeomorphic to N times IR^infty for an l_2-manifold N whose topological type is uniquely determined by the homotopy type of D_0(M). For instance, D_0(M) is homeomorphic to l_2 times IR^infty if n = 1, 2 or n = 3 and M is orientable and irreducible.

Affiliated with

Also associated with

No associations

Rating

Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology 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 Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffeomorphism groups of non-compact manifolds endowed with the Whitney C^infty-topology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-384432