Nonstandard proof of combined sum and product structure in IP^* sets

2021/10/15 by Sayan Goswami, Goswami, Sayan
Mathematics · Computer Science · #Mathematical and Theoretical Analysis #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms

paper · pdf · doi:10.48550/arxiv.2110.09285

Abstract

V. Bergelson and N. Hindman proved that IP^* sets contain all possible finite sum and product of a sum subsystem of any sequence in ℕ. In this article, we will prove this result using Nonstandard analysis.

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