Topological finiteness for asymptotically nonnegatively curved manifolds

Abstract

We prove that a class of asymptotically nonnegatively curved manifolds (in the sense of Abresch) satisfying some uniform Euclidean type volume growth conditions contains only finitely many homeomorphism types.

The uniform bound on R, claimed at the end of page 7, is not justified. Therefore, this paper has been withdrawn by the author