Monotone Dynamical Systems with Polyhedral Order Cones and Dense Periodic Points
classification
🧮 math.DS
keywords
denseperiodicinteriormonotonepointspolyhedralwhosecone
read the original abstract
Let X be a subset of R^n whose interior is connected and dense in X, ordered by a polyhedral cone in R^n with nonempty interior. Let T be a monotone homeomorphism of X whose periodic points are dense. Then T is periodic.
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