5 citations · 5 across the 2 of their papers we have counts for
4 papers · 1 filter
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.
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…
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…
Shift Equivalence and the Conley index
John Franks, David Richeson
In this paper we introduce filtration pairs for isolated invariant sets of continuous maps. We prove the existence of filtration pairs and show that, up to shift equivalence, the i…