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2005 Spring Topology and Dynamics Conference
March 17-19, 2005
Berry College
Mount Berry, Georgia, USA

Organizers
Eric McDowell, Todd Timberlake, John Graham

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Continuum many tent map inverse limits with homeomorphic postcritical omega-limit sets
by
Brian Raines
Baylor University
Coauthors: Chris Good

We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical omega-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.

Date received: March 1, 2005

Copyright © 2005 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 # capc-88.