Generic points in a characteristic class for amenable group actions are closed in the Besicovitch pseudometric
Abstract
We consider an action of a countable amenable group on a compact metric space, focusing on the set of generic points with respect to a fixed Flner sequence. For a given characteristic class, we prove that the set of points that are generic (along the Flner sequence) for some measure in this class is closed with respect to the Besicovitch pseudometric.
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