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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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A note on behaviour of invariant sets around an adding machine in the plane.
by
Marcin Kulczycki
Auburn University, Jagiellonian University

A homeomorphism of a disk D in R2 onto some subset of R2 that has an adding machine C as an invariant set in int(D) either has a point outside of C which has its entire orbit in both time directions contained in D, or one of the components of (the collection of points from D having their whole future contained in D) contains both a point from C and a point from the boundary of D.

Date received: June 20, 2002

Copyright © 2002 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 # cait-57.