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On two recurrence problems

Michael BoshernitzanEli Glasner — 2009

Fundamenta Mathematicae

We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincaré and Birkhoff recurrence; the second, due to the first author, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.

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