  We transfer several elementary geometric properties of rigid-analytic spaces
to the world of adic spaces, more precisely to the category of adic spaces
which are locally of (weakly) finite type over a non-archimedean field. This
includes normality, irreducibility (in particular irreducible components) and a
Stein factorization theorem. Most notably we show that finite morphisms of adic
spaces are open under mild assumptions on the base and target space.
