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Jónsson cardinals, Magidor cardinals, and the number of omitted colors

Garti, Shimon
arXiv (All) · Papers
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03e4503e55combinatoricslogic
Let $λ$ be a Magidor cardinal and let $α\in[α_M,λ)$. We show that $λ\rightarrow[λ]^{\aleph_0-bd}_{α,<α}$. We prove the consistency of a similar statement for Jónsson cardinals.
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