5 problems

Let $S(f)$ denote the stationary set of the solution of the wave equation in $\mathbb{R}^n$ with compactly supported initial data $f$, and suppose that stationary sets are containe…

Let $\kappa$ be measurable. Assume that Full Reflection holds at $\kappa$, that all canonical stationary sets $E^\kappa _\delta$ exist, and that $C[E^\kappa _\delta]$ denotes the f…

Consistency conjecture. The property $(*)$ is consistent with ZFC.

Let $V=L$. Let $\mathbb{P}$ be a ccc forcing notion and let $G\subseteq\mathbb{P}$ be generic. Write $\clubsuit_S$ for the clubsuit principle associated with a stationary set…

Let $\langle \kappa_n \mid n < \omega\rangle$ be a sequence of infinitely many measurable cardinals. For each $n$, suppose that $\kappa_n$ carries an $(\omega,\kappa_{n-1}^+)$ repe…