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We introduce the dynamic comparison property for minimal dynamical systemswhich has applications to the study of crossed product C*-algebras. Wedemonstrate that this property holds for a large class of systems whichincludes all examples where the underlying space is finite-dimensional, as wellas for an explicit infinite-dimensional example, showing that the it isstrictly weaker than finite-dimensionality in general.

Smallness and Comparison Properties for Minimal Dynamical Systems