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.