Sums of triples in Abelian groups

I Feldman, A Rinot

Research output: Contribution to journalArticlepeer-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 languageAmerican English
Pages (from-to)622-664
Number of pages43
JournalMathematika
Volume69
Issue number3
DOIs
StatePublished - Jul 2023

Bibliographical note

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

Fingerprint

Dive into the research topics of 'Sums of triples in Abelian groups'. Together they form a unique fingerprint.

Cite this