2024/02/14 by Sayan Goswami, Goswami, Sayan
Mathematics · #Holomorphic and Operator Theory #Point processes and geometric inequalities #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2402.09053
The notions of CR set is intimately related with the generalized van der Waerden's theorem. In this article, we prove the product of two CR sets is again a CR set. This answers [Question 4.2., N. Hindman, H. Hosseini, D. Strauss, and M. Tootkaboni: Combinatorially rich sets in arbitrary semigroups, Semigroup Forum, 107 (2023), 127-143.] . We use combinatorial arguments to prove our result.