Geometric simple connectivity and open 3-manifolds3-manifolds
by
T. L. Thickstun
Southwest Texas State University

A noncompact polyhedron is said to be ``geometrically simply connected'' (gsc) if it's exhausted by compact simply connected polyhedra. We demonstrate that, among open contractible 3-manifolds containing no fake 3-balls, only euclidean 3-space is proper homotopy equivalent to a gsc polyhedron.

Date received: June 2, 1998

Copyright © 1998 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 # cabi-10.