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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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Embedding Symmetric Products in Euclidean Spaces
by
Alejandro Illanes
Universidad Nacional Autonoma de Mexico

For a metric continuum X, let Fn(X) be the hyperespace of nonempty subsets of X with at most n elements. In this talk we discuss the problem: When can Fn(X) be embedded in some Euclidean space Rm? In particular, we show that, if X is the sin(1/x)-curve, then F2(X) can be embedded in R3.

Date received: February 18, 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-28.