Dear NJZ,

truth be told, I find your intention staggering. The scope of your list is too comprehensive. Manifolds must be useful in your quest of course, but somehow I feel that by the time you up along your list, you'll be able to pass a better judgement whether or how much of the manifolds you need.

As the General Relativity was Einstein's attempt at a unified field theory, which since took up a radically different direction, your quest should eventually lead you to the string theory so that other branches of math would become relevant.

I am just incapable of seeing that far.