Sums of triples in Abelian groups

I Feldman; A Rinot

doi:10.1112/mtk.12200

Sums of triples in Abelian groups

I Feldman, A Rinot

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Motivated by a problem in additive Ramsey theory, we extend Todorčević's partitions of three-dimensional combinatorial cubes to handle additional three-dimensional objects. As a corollary, we get that if the continuum hypothesis fails, then for every Abelian group G of size ℵ₂, there exists a coloring (Formula presented.) such that for every uncountable (Formula presented.) and every integer k, there are three distinct elements (Formula presented.) of X such that (Formula presented.).

Original language	American English
Pages (from-to)	622-664
Number of pages	43
Journal	Mathematika
Volume	69
Issue number	3
DOIs	https://doi.org/10.1112/mtk.12200
State	Published - Jul 2023

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© 2023 The Authors. Mathematika is copyright © University College London and published by the London Mathematical Society on behalf of University College London.

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Sums of triples in Abelian groups

Abstract

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