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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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Properties of Fibonacci-like inverse limit spaces
by
Henk Bruin
University of Surrey

Let Ta:I → I be the symmetric tent map with slope a, and (I, Ta) its inverse limit space. For those a such that the turning point 1/2 has a finite orbit, the spaces (I, Ta) have been topologically classified: they are all non-homeomorphic. For a such that 1/2 has an infinite orbit, much less is known. In this talk I want to present some properties of (the asymptotic arc-components of) (I, Ta) when Ta has Fibonacci-like combinatorics.

Date received: January 15, 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-18.