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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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Recent examples in fixed-point theory
by
Charles L. Hagopian
Sacramento State University

Let M be a curve with the fixed-point property. Recent examples show that (1) M ×[0, 1] may fail to have the fixed-point property (Sobolewski), (2) M ÈD may fail to have the fixed-point property when M is planar, D is a disk, and M ÇD is an arc (Hagopian and Prajs), and (3) the cone over M may fail to have the fixed-point property when M is a planar spiral limiting on a triod (Illanes). We will discuss these examples and several related unsolved problems.

Date received: February 24, 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-46.