For questions related to dominant morphisms. A morphism $f:X→S$ of schemes is called dominant if the image of $f$ is a dense subset of $S$.
A morphism $f:X→S$ of schemes is called dominant if the image of $f$ is a dense subset of $S$.
So for example, if $k$ is an infinite field and $λ_1,λ_2,\dots$ is a countable collection of distinct elements of $k$, then the morphism $$∐_{i=1,2,\dots}\text{Spec}(k)⟶\text{Spec}(k\lfloor x \rfloor)$$ with $i$th factor mapping to the point $x=λ_i$ is dominant.