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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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Poincaré-Birkhoff theorems on invariant continua
by
Thor Matison
Montana State University

Every area and orientation preserving homeomorphism of the annulus that rotates the boundary circles in opposite directions must contain two fixed points. This is the Poincaré-Birkhoff Theorem. Similar results exist for the open annulus, basin boundaries, and many plane continua. These, including a theorem for irreducible plane separating continua, are discussed.

Date received: January 31, 1996

Copyright © 1996 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 # caaa-32.