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Spring General Topology & Dynamic Systems Conference
March 16-19, 2000
University of the Incarnate Word and The University of Texas at San Antonio
San Antonio, TX, USA

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Flows on Hilbert Cubes
by
Bill Goldbloom Bloch
Wheaton College

Given a continous path p from [0, 1] to the Hilbert cube Q, we construct a flow on Q that contains p([0, 1]) as a subset of the invariant set of an attractor. The interest in this lies in using Q as a space to model complicated dynamical phenomena that partake of a weak kind of recurrence. Examples we have in mind are naturally-occurring, ill-defined systems, such as a waterfall or a flame flickering on a log.

Date received: February 15, 2000

Copyright © 2000 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 # cady-63.