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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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Inverse limits with permutation maps
by
Robbie Beane
Missouri University of Science and Technology

In 2002 W. T. Ingram introduced a family of Markov maps whose members are based on permutations. We study inverse limits on [0,1] with bonding maps taken from this family. We show that each such inverse limit space is a Kelley continuum, answering a question of W. J. Charatonik. Additional results relating to indecomposability, end points, and the subcontinua of such spaces are provided. It is also shown that the inverse limit generated by any member of the logistic family having an attracting periodic orbit is homeomorphic to the inverse limit generated by some permutation map.

Date received: February 28, 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 # cawy-29.