Atlas home || Conferences | Abstracts | about Atlas

The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

View Abstracts
Conference Homepage

Fixed Points of the Bucket Handle
by
J. M. Aarts
Delft University of Technology
Coauthors: R. J. Fokkink

If a homeomorphism on the bucket handle has an invariant composant, it has a fixed point in that composant. It follows that a homeomorphism on the bucket handle has at least two fixed points. This answers a question by Mahavier (Problem 120 of the Houston Problem Book). Our methods apply to general Knaster continua.

Date received: January 31, 1996

Copyright © 1996 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 # caaa-51.