Let κ be any regular cardinal. Assuming the existence of a huge cardinal above κ, we prove the consistency of [InlineEquation not available: see fulltext.] for every ordinal τ< κ+ +. Likewise, we prove that [InlineEquation not available: see fulltext.] is consistent when A is strongly closed under countable intersections.
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- Amenable colorings
- Huge cardinals
- Martin’s axiom
- Partition relations