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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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The number of fixed points for homeomorphisms of Knaster continua
by
James Keesling
University of Florida
Coauthors: Vincent Ssembatya

Mahavier asked whether every homeomorphism of the standard dyadic Knaster continuum had at least two fixed points. Aarts and Fokkink answered this question in the affirmative. In this talk we show that for generalized Knaster continua, there may be only one fixed point for a homeomorphism h. However, for h2n the number of fixed points will be c2n. We give a precise lower bound for the number c of based on the primes in the sequence definining the Knaster continuum.

Date received: February 28, 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 # cakw-16.