Abstract
We study the subtlety of a cardinal κ and of kΛ. We show that, under a certain large cardinal assumption, it is consistent that kΛ is subtle for some Λ > κ but κ is not subtle, and the consistency of such a situation is much stronger than the existence of a subtle cardinal. We show that the subtlety of PkΛ can be characterized by a certain partition relation on kΛ. We also study the property of faintness of κ, and the subtlety of kΛ with the strong inclusion.
| Original language | English |
|---|---|
| Pages (from-to) | 59-71 |
| Number of pages | 13 |
| Journal | Mathematical Logic Quarterly |
| Volume | 62 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 2016 Feb 1 |
| Externally published | Yes |
ASJC Scopus subject areas
- Logic
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Cite this
Usuba, T. (2016). Subtlety and partition relations. Mathematical Logic Quarterly, 62(1-2), 59-71. https://doi.org/10.1002/malq.201400040