I remember to have seen a big list in the EGA of properties $(P)$ such that:
if $f : X \to Y$ has $(P)$ then, $f\_{(S')} : X\_{(S')}\to Y\_{(S')}$ has $(P)$, where $f\_{(S')}$ is the morphism $f$ after a base change $S'\to S$., etc. but I can't find it now...


Does anyone know where I can find such a list ?


(I am interested by $(P)$ = "to be a closed map")



Properties stable under base change in algebraic geometry
One list I've seen is in Appendix C from a course 'Rational Points on Varieties' taught by Bjorn Poonen. Here's the link:


<http://math.mit.edu/~poonen/papers/Qpoints.pdf>


Also, the appendix to the book of Gortz and Wedhorn 'Algebraic Geometry 1: Schemes With Examples and Exercises' is a great reference.


