Sunday, 19 October 2008

at.algebraic topology - Must a Strong deformation retractible 3-manifold be homeomorphic to mathbbR3?

JG, maybe a good place to look for background is the paper of Chang, Weinberger, and Yu: Taming 3-manifolds using scalar curvature. They prove that if your M (contractible) is complete and if scal is uniformly positive, then it is homeomorphic to mathbbR3...this is weaker than assuming sec>0 and using something like the Soul Theorem.



Also, check out Ross Geoghegan's "Topological methods in group theory."

No comments:

Post a Comment