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math.DS2003
Positively expansive homeomorphisms of compact spaces
David Richeson, Jim Wiseman
We give a new and elementary proof showing that a homeomorphism of a compact metric space is positively expansive if and only if the space is finite.
math.DS2002★ 5 cited
Bounded homeomorphisms of the open annulus
David Richeson, Jim Wiseman
We prove a generalization of the Poincaré-Birkhoff theorem for the open annulus showing that if a homeomorphism satisfies a certain twist condition and the nonwandering set is conn…
math.DS2001
A fixed point theorem for bounded dynamical systems
David Richeson, Jim Wiseman
We show that a continuous map or a continuous flow on with a certain recurrence relation must have a fixed point. Specifically, if there is a compact set W with the proper…