2 problems

Let ${\mathfrak k}$ be an abstract elementary class and put $\kappa={\rm LST}_{\mathfrak k}+|\tau_{\mathfrak k}|$. Superlimit-or-nonstructure conjecture. At least one of the follow…

Let ${\mathfrak k}$ be an abstract elementary class. Large-cardinal dichotomy conjecture. For a closed unbounded class $C$ of cardinals, the alternatives stated in the source shoul…