How complicated must be a non-separating plane continuum without the fixed point property?
by
Piotr Minc
Auburn University

We will discuss various aspects of the above question and present the following theorem:

THEOREM. Suppose X is a tree-like plane continuum without the fixed point property. Then there exists another plane continuum Y without the fixed point property such that Y is the inverse limit of an inverse system of trees with simplicial bonding maps.

Date received: June 20, 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 # caeu-36.