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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 set valued functions
by
Van Nall
University of Richmond

We begin to answer the question of which continua in the Hilbert cube can be the inverse limit with a single upper semi-continuous bonding map from [0, 1] to 2[0, 1]. Several continua including [0, 1]×[0, 1] and all compact manifolds with dimension greater than one cannot equal to such an inverse limit. It is also shown that if the upper semi-continuous bonding maps have only zero dimensional point values, then the dimension of the inverse limit does not exceed the dimension of the factor spaces.

Date received: February 6, 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-38.