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  1. Subtlety and partition relations.Toshimichi Usuba - 2016 - Mathematical Logic Quarterly 62 (1-2):59-71.
    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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