Infinite monochromatic sumsets for colourings of the reals

DOI10.1090/proc/14431OpenAlexW2963344543WikidataQ102037880 ScholiaQ102037880MaRDI QIDQ5377080

Dániel T. Soukup, Imre Leader, Zoltán Vidnyánszky, Paul A. Russell, Péter Komjáth, Saharon Shelah

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07500

zbMATH Keywords

continuumcolouringsumsetpartition relationmonochromatic

Mathematics Subject Classification ID

Consistency and independence results (03E35) Ramsey theory (05D10) Partition relations (03E02)

Related Items (4)

Monochromatic infinite sumsets ⋮ Nonstandard characterisations of tensor products and monads in the theory of ultrafilters ⋮ Hindman-like theorems with uncountably many colours and finite monochromatic sets ⋮ Monochromatic sumset without large cardinals

Cites Work

• Unnamed Item
• Partitions and sums of integers with repetition
• Pairwise sums in colourings of the reals
• A certain 2-coloring of the reals
• A note on Hindman-type theorems for uncountable cardinals
• A Ramsey statement for infinite groups
• Strong polarized relations for the continuum
• Monochromatic infinite sumsets
• Hindman's theorem is only a countable phenomenon
• Combinatorial Cardinal Characteristics of the Continuum
• Set Theory
• Strong failures of higher analogs of Hindman’s theorem

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