Chaotic homeomorphisms on manifolds
by
A.G.M. Daalderop
Delft University of Technology
Coauthors: J.M. Aarts

For n >= 2 , every n-dimensional compact manifold X admits a chaotic autohomeomorphism. The set of all chaotic measure-preserving homeomorphisms on X is dense in the space of all measure-preserving homeomorphisms. The concise proof is based on both category arguments and an inductive convergence criterion for homeomorphisms.
REFERENCE
Aarts, J.M., Daalderop, A.G.M., Chaotic homeomorphisms on manifolds, Topology and ist Applications, to appear.

Date received: February 12, 1998

Copyright © 1998 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 # caas-61.