Subtlety and partition relations

Mathematical Logic Quarterly 62 (1-2):59-71 (2016)
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Abstract

We study the subtlety of a cardinal κ and of. We show that, under a certain large cardinal assumption, it is consistent that is subtle for some 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 can be characterized by a certain partition relation on. We also study the property of faintness of κ, and the subtlety of with the strong inclusion.

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10.1002/malq.201400040

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References found in this work

On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327-359.
A combinatorial property of p κλ.Telis K. Menas - 1976 - Journal of Symbolic Logic 41 (1):225-234.
On strong compactness and supercompactness.Telis K. Menas - 1975 - Annals of Mathematical Logic 7 (4):327.
Notes on subtlety and ineffability in Pκλ.Yoshihiro Abe - 2005 - Archive for Mathematical Logic 44 (5):619-631.
Some Aspects of n‐Subtlety.Pierre Matet - 1988 - Mathematical Logic Quarterly 34 (2):189-192.

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