weakly regular ultrafilter

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Measurable cardinal — In mathematics, a measurable cardinal is a certain kind of large cardinal number. Contents 1 Measurable 2 Real valued measurable 3 See also 4 References … Wikipedia
Strongly compact cardinal — In mathematical set theory, a strongly compact cardinal is a certain kind of large cardinal number; their existence can neither be proven nor disproven from the standard axioms of set theory.A cardinal kappa; is strongly compact if and only if… … Wikipedia
Core model — In set theory, the core model is a definable inner model of the universe of all sets. Even though set theorists refer to the core model , it is not a uniquely identified mathematical object. Rather, it is a class of inner models that under the… … Wikipedia

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