Strong failures of higher analogs of Hindman’s theorem

DOI10.1090/tran/7131zbMath1423.03161arXiv1608.01512OpenAlexW3106404031MaRDI QIDQ5367106

Assaf Rinot, David J. Fernández Bretón

Publication date: 12 October 2017

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

Full work available at URL: https://arxiv.org/abs/1608.01512

zbMATH Keywords

Hindman's theoremcommutative cancellative semigroupsJónsson cardinalstrong coloring

Mathematics Subject Classification ID

Commutative semigroups (20M14) Consistency and independence results (03E35) Applications of set theory (03E75) Partition relations (03E02)

Related Items

Knaster and friends. I: Closed colorings and precalibers ⋮ Hindman's theorem is only a countable phenomenon ⋮ Sums of triples in Abelian groups ⋮ The Adjacent Hindman’s Theorem for uncountable groups ⋮ Hindman-like theorems with uncountably many colours and finite monochromatic sets ⋮ Infinite monochromatic sumsets for colourings of the reals ⋮ A note on Hindman-type theorems for uncountable cardinals ⋮ Monochromatic sumset without large cardinals ⋮ A Ramsey statement for infinite groups ⋮ Transformations of the transfinite plane

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