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Combinatorial aspects of the splitting number

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Publication:1929755
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DOI10.1007/s00026-012-0154-5zbMath1284.03222arXiv1007.2266OpenAlexW1995914474MaRDI QIDQ1929755

Saharon Shelah, Shimon Garti

Publication date: 9 January 2013

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

Full work available at URL: https://arxiv.org/abs/1007.2266


zbMATH Keywords

splitting numberMathias forcingpartition calculusweak diamond


Mathematics Subject Classification ID

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


Related Items

Open and solved problems concerning polarized partition relations ⋮ Bounding, splitting, and almost disjointness ⋮ Partition calculus and cardinal invariants ⋮ Amenable colorings ⋮ Dense free sets



Cites Work

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  • A weak version of \(\lozenge\) which follows from \(2^{\aleph_0}<2^{\aleph_1}\)
  • Strong polarized relations for the continuum
  • Partition calculus and cardinal invariants
  • A partition calculus in set theory
  • Splitting number at uncountable cardinals
  • Splitting families and the Noetherian type of βω / ω
  • Partition relations for cardinal numbers
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