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Homotopy minimal periods for expanding maps on infra-nilmanifolds

Homotopy minimal periods for expanding maps on infra-nilmanifolds

We prove that the sets of homotopy minimal periods for expanding maps on n -dimensional infra-nilmanifolds are uniformly cofinite,i.e., there exists a positive integer m 0 , which depends only on n , such that for any integer m ≥ m 0 , for any n -dimensional infra-nilmanifold M , …