Group theoretic conditions under which closed aspherical manifolds are covered by Euclidean space
by
Hanspeter Fischer
Brigham Young University
Coauthors: David G. Wright (Brigham Young University)

Hass, Rubinstein, and Scott showed that every closed aspherical (irreducible) 3-manifold whose fundamental group contains the fundamental group of a closed aspherical surface, is covered by Euclidean space. This theorem does not generalize to higher dimensions. However, we will prove variations of this theorem in all dimensions by presenting conditions on finitely presented groups that guarantee simple connectivity at infinity. The proofs that we give will all be geometric.

http://www.math.byu.edu/~fischer

Date received: January 24, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cady-10.