I have two infinite-dimensional convex polytopes, call them $A$ and $B$. I know that $B$ is completely contained within $A$, and I want to say something meaningful about their relative sizes.
From what I have read, it seems that most infinite dimensional objects have infinite dimensional measure of either $0$ or $1$, so comparing the ratio of their infinite dimensional "volumes" seems to be a futile exercise.
Any ideas about how to quantify how much bigger $A$ is than $B$?