Reports on Mathematical Logic

No. 37

Olivier ESSER:

Mildly ineffable cardinals and hyperuniverses

A b s t r a c t. In this paper, we give an alternative to M. Forti and F. Honsell's construction of hyperuniverses. We use this construction to see precisely on what conditions there can exist a $\kappa$-hyperuniverse of given uniform weight. This condition is expressed in terms of  mildly ineffable cardinals.

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