Separating topological recurrence from measurable recurrence: exposition and extension of Kriz's example

2021/08/03 by Griesmer, John T. · 1 citation
#11B30 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2108.01642

Abstract

We prove that for every infinite set E⊂ \mathbb Z, there is a set S⊂ E-E which is a set of topological recurrence and not a set of measurable recurrence. This extends a result of Igor Kriz, proving that there is a set of topological recurrence which is not a set of measurable recurrence. Our construction follows Kriz's closely, and this paper can be considered an exposition of the original argument.

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