3 problems

Let $K$ be a $p$-adically closed field and let $A$ be an infinite definable subset of $K^n$ that is open in its closure. Let $(B_k)_{k\leq q}$ be a finite collection of closed defi…

Let $X \subset \mathbb{Q}_p^n$ be a definable set in the language of fields. For each $\lambda \geq 0$, let $X_\lambda$ be the image of $X \cap \mathbb{Z}_p^n$ in…

Definable-set lifting conjecture. If $T'$ does not have the Schröder–Bernstein property, then $T$ does not have the Schröder–Bernstein property.