Abstract
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 language | English |
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Pages (from-to) | 636-641 |
Number of pages | 6 |
Journal | Mathematical Logic Quarterly |
Volume | 53 |
Issue number | 6 |
DOIs | |
State | Published - 2007 |
Keywords
- Colorings
- Identities
- Pcf theory
- Set theory