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First International Meeting on Continuum Theory
June 29 - July 1, 2000
Facultad de Ciencias Fisico-Matematicas de la Benemerita Universidad Autonoma de Puebla
Puebla, Mexico

Organizers
Raul Escobedo, Fernando Macias, Sergio Macias, Richard Schori, Carl Seaquist

View Abstracts

Some Dynamical Properties of Mappings Defined on Knaster Continua
by
Hector Mendez
Facultad de Ciencias, UNAM

For each n >= 1 we consider a function gn:[0, 1] --> [0, 1], which is open, piecewise linear, and gn([l/n, (l+1)/n])=[0, 1]. Given n >= 2, the inverse limit on [0, 1] using the single bonding map gn provides us with an indecomposable arc-like continuum, say Kn. Given m >= 2, gm produces a mapping of Kn, say Gm:Kn --> Kn. We present some dynamical properties of these maps. Also, we link this study with an example due to Piotr Minc in order to show a positive entropy mapping with no periodic points other than fixed points.

Date received: April 14, 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 # caem-15.