The diffeomorphism groups of the real line are pairwise bihomeomorphic

Details The diffeomorphism groups of the real line are pairwise bihomeomorphic The diffeomorphism groups of the real line are pairwise bihomeomorphic

2008-04-23

arxiv.org/abs/0804.3645v3

Topology, 48 (2009) 119-129

Mathematics

Differential Geometry

14 pages

Scientific paper

We prove that the group D^r(R) of C^r diffeomorphisms of the real line, endowed with the compact-open and Whitney C^r topologies, is bihomeomorphic to the group H(R) of homeomorphisms of the real line endowed with the compact-open and Whitney topologies. This implies that the diffeomorphism group D^r(R) endowed with the Whitney C^r topology is homeomorphic to the countable box-power of the separable Hilbert space.

Affiliated with

Also associated with

No associations

Rating

The diffeomorphism groups of the real line are pairwise bihomeomorphic 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 diffeomorphism groups of the real line are pairwise bihomeomorphic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The diffeomorphism groups of the real line are pairwise bihomeomorphic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-104609