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Composant Structure in Indecomposable Inverse Limits of Unimodal Maps
by
David Ryden
Baylor University
We assign itineraries to points of these spaces so that two points belong to the same composant if and only if their itineraries agree on their tails. This extends well known results long known to hold for any indecomposable continuum that arises as the inverse limit of a single tent core with a nonrecurrent or periodic critical point. However the assignment of itineraries in this more general setting is more complicated, and the set of itineraries does not always reflect the dynamics of the map.
Date received: February 21, 2009
Copyright © 2009 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 # cayo-53.