Suslin trees, the bounding number, and partition relations
作者： Dilip Raghavan , Stevo Todorcevic
DOI: 10.1007/S11856-018-1677-1
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摘要: We investigate the unbalanced ordinary partition relations of form λ → (λ, α)2 for various values cardinal and ordinal α. For example, we show that every infinite κ, existence a κ+-Suslin tree implies κ+ ↛ (κ+, log κ (κ+) + 2)2. The consistency positive relation b (b, all α < ω1 bounding number is also established from large cardinals.
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