A Proof of the Hilbert-Smith Conjecture

Details A Proof of the Hilbert-Smith Conjecture A Proof of the Hilbert-Smith Conjecture

2001-03-29

arxiv.org/abs/math/0103215v8

Mathematics

Geometric Topology

A few minors changes have been made on pages 6, 8, 19-20, 26, 28, 34 to make the paper easier to read

Scientific paper

The Hilbert-Smith Conjecture states that if G is a locally compact group which acts effectively on a connected manifold as a topological transformation group, then G is a Lie group. A rather straightforward proof of this conjecture is given. The motivation is work of Cernavskii (``Finite-to-one mappings of manifolds'', Trans. of Math. Sk. 65 (107), 1964.) His work is generalized to the orbit map of an effective action of a p-adic group on compact connected n-manifolds with the aid of some new ideas. There is no attempt to use Smith Theory even though there may be similarities.

Affiliated with

Also associated with

No associations

Rating

A Proof of the Hilbert-Smith Conjecture 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 A Proof of the Hilbert-Smith Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Proof of the Hilbert-Smith Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-684222