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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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Topological classification of inverse limit spaces of tent maps with non-recurrent critical orbit
by
Sonja Štimac
University of Zagreb, Croatia
Coauthors: Brian Raines (Baylor University)

In recent years there has been intensive research of topological properties of inverse limit spaces Ks of tent maps Ts with classification of these spaces as ultimate goal. By use of symbolic dynamics we were able to classify the inverse limits of tent maps with non-recurrent critical orbit. More precisely, we prove the following result: For s, t ∈ (1, 2], s ≠ t, if Ts and Tt are tent maps with non-recurrent critical orbits, then Ks and Kt are not homeomorphic.

Date received: February 24, 2008

Copyright © 2008 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 # cawk-68.