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math.DS2010★ 1 cited
Compactifications of Dynamical Systems
Ethan Akin, Joseph Auslander
While compactness is an essential assumption for many results in dynamical systems theory, for many applications the state space is only locally compact. Here we provide a general…
math.DS2010
Maximal r-Diameter Sets and Solids of Constant Width
Ethan Akin
We recall the definition of an r-maximal set in a metric space as a maximal subset of diameter r. In the special case when the metric space is Euclidean such a set is exactly a sol…