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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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Necessary and sufficient conditions for a circle-like continuum to admit an expansive homeomorphism.
by
Christopher G. Mouron
Rhodes College, Memphis, Tennessee

A homeomorphism h:X→ X is expansive provided that there exists a constant c > 0 and for every x, y ∈ X there exists an integer n, dependent only on x and y, such that d(hn(x), hn(y)) > c. A continuum is circle-like if it is the inverse limit of simple closed curves. In this talk I will discuss the following new result: A circle-like continuum X admits an expansive homeomorphism if and only if there exists a positive integer n > 1 such that X is homeomorphic to the inverse limit of {zn, S}i=1∞ where S is the unit circle in the complex plane.

Date received: February 22, 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-62.