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user38200
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Cardinality of an ultraproduct

Given structures $A_i$ of cardinality not uniformily bounded $<\kappa$ where $\kappa$ is a measurable cardinal, and $\mathcal{U}$ a $\kappa$-complete ultrafilter, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?

user38200
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