TITLE: What is the name of the function that indexes Grothendieck universes?
QUESTION [6 upvotes]: Assume Tarski-Grothendieck set theory. Then Grothendieck universes form a well-ordered proper class, so we can let $U_\alpha$ denote the $\alpha$'th Grothendieck universe, where $\alpha$ is an ordinal.
Does the (proper class) function $\alpha \mapsto U_\alpha$ have a name?

REPLY [2 votes]: I don't think there is a widespread name for this function, because otherwise someone would have answered it after 4.5 years.