Two cardinal models for singular μ

Shimon Garti, Saharon Shelah*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We deal here with colorings of the pair (μ+, μ), when μ is a strong limit and singular cardinal. We show that there exists a coloring c with no refinement. It follows that the properties of colorings of (μ+, μ) when μ is singular differ in an essential way from the case of regular μ (although the identities may be the same).

Original languageAmerican English
Pages (from-to)636-641
Number of pages6
JournalMathematical Logic Quarterly
Issue number6
StatePublished - 2007


  • Colorings
  • Identities
  • Pcf theory
  • Set theory


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