An almost strong relation

Shimon Garti, Andrés Villaveces

Research output: Contribution to journalArticlepeer-review


Let µ be a strong limit singular cardinal. We prove that if 2µ > µ+ then the almost strong polarized partition relation (µµ+) → (µτ)θ for every ordinal τ < µ+ and for every θ < cf(µ). We obtain an optimal positive relation under 2µ = µ+, as after collapsing 2µ to µ+ this positive relation is preserved.

Original languageAmerican English
Pages (from-to)456-467
Number of pages12
JournalBulletin of the Belgian Mathematical Society - Simon Stevin
Issue number4
StatePublished - Dec 2023

Bibliographical note

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© 2023 Belgian Mathematical Society. All rights reserved.


  • Polarized partition relations
  • elementary submodels
  • pcf theory


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