|
Organizers |
Expansive homeomorphisms and plane continua
by
Christopher Mouron
University of Delaware
A homeomorphism h: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 tree-like continuum, then h cannot be expansive. Also, an example of a 2-dimensional planar continuum that admits an expansive homeomorphism is given.
Date received: February 7, 2001
Copyright © 2001 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 # cagh-42.