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Idempotent ultrafilters and polynomial recurrence

2007/11/05 by Christian Schnell, Schnell, Christian
Mathematics · #28D05 #37A45 #54D80 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Limits and Structures in Graph Theory #advanced mathematical theories #math.DS #msc:28D05 #msc:37A45 #msc:54D80

paper · pdf · doi:10.48550/arxiv.0711.0484

25 pages

arxiv created 2007/11/05 · openalex publication_date 2007/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new proof of a polynomial recurrence result due to Bergelson, Furstenberg, and McCutcheon, using idempotent ultrafilters instead of IP-limits.

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