All Questions

Let $K$ be a complete non-Archimedean valued field (I think the valuation does not have to be discrete). For a paracompact strictly $K$-analytic space, I have seen at least two definitions of ...

Let $K$ be an algebraic closure of p-adic rationals. Does there exist a proper smooth rigid-analytic variety over $K$ whose etale homotopy type is not isomorphic to etale homotopy type of a proper ...

The following is likely all obvious to the experts. But since the field looks tricky to an outsider, maybe I may be excused for asking anyway. I am wondering about basic facts of what would naturally ...