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On IP* sets and central sets

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Abstract

IP* sets and central sets are subsets of ℕ which are known to have rich combinatorial structure. We establish here that structure is significantly richer that was previously known. We also establish that multiplicatively central sets have rich additive structure. The relationship among IP* sets, central sets, and corresponding dynamical notions are also investigated.

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Authors and Affiliations

  1. Dept. of Mathematics, Ohio State University, 43210, Columbus, Ohio, USA

    Vitaly Bergelson

  2. Dept. of Mathematics, Howard University, 20059, Washington, DC, USA

    Neil Hindman

Authors
  1. Vitaly Bergelson
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  2. Neil Hindman
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The authors gratefully acknowledge support from the National Science Foundation (USA) via grants DMS-9103056 and DMS-9025025 respectively.

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Bergelson, V., Hindman, N. On IP* sets and central sets. Combinatorica 14, 269–277 (1994). https://doi.org/10.1007/BF01212975

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  • DOI: https://doi.org/10.1007/BF01212975

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