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A Chebyshev Sponge
by
Gordon G. Johnson
University of Houston
There is a set in a real inner product space, called a Chebyshev Sponge, that has the property that each point in the space has a unique nearest point in the set. The intuitive notion of a sponge is essentially correct as to what a Chebyshev Sponge ``looks like."
Date received: March 5, 1997
Copyright © 1997 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 # caam-47.