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Kaethe Minden (Bard College at Simon's Rock)

Category
Models and Sets Seminar
Date
Date
Wednesday 9 December 2020

Split Principles and Large Cardinals

The original split principle is an equivalent formulation of a cardinal failing to satisfy the combinatorial essence of weak compactness. Gunter Fuchs and I expanded the notion in order to characterize the negation of other large cardinal properties. These split principles give rise to seemingly new large cardinals. In this talk I plan to introduce split principles and potentially compare them with flipping properties, which are another way to characterize various large cardinal properties.