Let $X={\bf A}^{1}=Spec(K[x])$ be the affine line. The analytic space $X^{an}$ contains, among others, points of the following types:

• •

  $X(K)\hookrightarrow X(\overline{K})/Gal(\overline{K}/K)\hookrightarrow X^{an}$;

• •

  for $r\in{{\bf R}}_{\geq 0}$ define

  $$|\sum_{j=0}^{d}c_{j}z^{j}|_{r}:=\max_{j}(|{c_{j}}|r^{j})\,\,.$$

  This gives an embedding ${\bf R}_{\geq 0}\hookrightarrow X^{an}$.

We see that $X^{an}$ contains, in a sense, both $p$-adic and real points.