Algebraically closed fields, and in general varieties are among the first examples
of Zariski Geometries.
I will consider specialisations of algebraically closed fields and varieties.
In the case of an algebraically closed field K, I will show that a specialisation
is essentially a residue map, res from K to a residue field k.
In both cases I will show universality of the specialisation is controlled by the
transcendence degree of K over k.
- Advanced Class Logic