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Expansive homeomorphisms of plane separating continua
by
Christopher Mouron
Rhodes College
A homeomorphism h\colon X --> X is called expansive provided that for some fixed c > 0 and every x, y in X there exists an integer n, dependent only on x and y, such that d(hn(x), hn(y)) > c. It is shown that if X is a 1-dimensional continuum that separates the plane into exactly 2 pieces, then h cannot be expansive.
Date received: February 21, 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 # cajz-41.