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Non-confluence of the natural map of products onto symmetric products.
by
Jorge M. Martinez-Montejano
West Virginia University
Let X be a nondegenerate continuum; the cartesian product of X with itself n times is denoted by Xn, and the n-fold symmetric of X with the Hausdorff metric is denoted by Fn(X). It is proved that for each n >= 3, the natural map from Xn onto Fn(X) is not k-confluent for any positive integer k.
Date received: March 21, 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 # caem-02.