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

Shimon Garti

Source record

Source: arXiv

Published: Oct 25, 2026

arXiv: 2610.34189

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Source abstract

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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Jónsson cardinals, Magidor cardinals, and the number of omitted colors — Mathematical Frontier Network