Fundamental Groups of Locally Complicated Spaces
by
Greg Conner
BYU
Coauthors: James W. Cannon, Jack W. Lamoreaux

The speaker will discuss results concerning fundamental groups of spaces which are locally complicated. In particular, we will focus on a recent result of Conner and Lamoreaux which shows that the fundamental group of a locally path connected , connected subset of the plane is free if and only if it is countable if and only if the underlying set has a universal cover. Also discussed will be an earlier result of Cannon and Conner which proves a similar result for one dimensional separable metric spaces.

Date received: May 5, 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-03.