Rational irreducible plane continua without the fixed-point property
by
Charles L. Hagopian
Department of Mathematics, California State University, Sacramento, Sacramento, California 95819-6051
Coauthors: Roman Manka

In the Euclidean plane we define a rational irreducible continuum that admits a fixed-point-free map and has the condition that each of its tranches has the fixed-point property. Our construction is based on a special simple spiral that limits on a double Warsaw circle. The closure of this spiral has the fixed-point property.

Date received: February 11, 2003

Copyright © 2003 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 # cajz-28.