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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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Inhomogeneities in inverse limits of branched manifolds
by
Brian Raines
Baylor University

Inverse limits of branched one-manifolds were first used by R. F. Williams to model the nonwandering set of a hyperbolic system. We examine neighborhoods in such an inverse limit space that are homeomorphic to the product of a zero-dimensional set and an arc. More interestingly, under quite general conditions, points that have no such neighborhood are characterized.

Date received: February 28, 2003

Copyright © 2003 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 # cakw-00.