A hierarchy of Ramsey cardinals.(English)Zbl 0719.03025

Hierarchies of large cardinal properties between Ramsey and measurable are introduced and studied. The properties, somewhat similar to iterated Mahloness, but using the Ramsey filter rather than the club filter, are absolute to the core model.

MSC:

 3e+55 Large cardinals 3e+45 Inner models, including constructibility, ordinal definability, and core models 300000 Other combinatorial set theory
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References:

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