Inverse Limits of Markov Maps of Simple Graphs
by
Brian Raines
University of Missouri at Rolla

A Markov map of the interval is a mapping, f, that admits a partition, B, such that B is invariant under f and f is monotonic on each subinterval determined by the elements of B. We present an extension of a theorem of Holte which gives a condition under which two Markov maps of the interval give rise to homeomorphic inverse limits, and we present a similar result for Markov maps of finite graphs.

Date received: February 19, 1999

Copyright © 1999 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 # caca-48.