Irreducibility, indecomposability, and the structure of periodic orbits for interval maps
by
David Ryden
Tulane University

Suppose f:[a, b] --> [a, b] is continuous. Barge and Martin, and Ingram have shown that if the inverse limit of {f, [a, b]} is hereditarily decomposable, then the period of every periodic orbit of f is a power of two. We will elaborate on the structure of these orbits, and, assuming f is a Markov map whose partition consists of a single periodic orbit, give necessary and sufficient conditions for the inverse limit to be 1) decomposable 2)hereditarily decomposable.

Date received: February 9, 2001

Copyright © 2001 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 # cagh-73.