Strong polarized relations for the continuum

DOI10.1007/s00026-012-0130-0zbMath1270.03077arXiv1103.5195OpenAlexW3100646167MaRDI QIDQ1928582

Shimon Garti, Saharon Shelah

Publication date: 3 January 2013

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5195

zbMATH Keywords

forcinglarge cardinalspartition calculusstrong polarized relation

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items

Open and solved problems concerning polarized partition relations ⋮ Bounding, splitting, and almost disjointness ⋮ Combinatorial aspects of the splitting number ⋮ Infinite monochromatic sumsets for colourings of the reals ⋮ Partition calculus and cardinal invariants ⋮ Free sets for set mappings satisfying some intersection conditions ⋮ Dense free sets

Cites Work

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• A weak generalization of MA to higher cardinals
• A strong polarized relation
• A partition calculus in set theory
• Partition relations for cardinal numbers