Today's Misc.
by JS
I’m happy about this post because I understood it, as opposed to say, most of the stuff at n-Category Cafe. I’m especially happy because at one time or another, I knew the statement of, and the corresponding proof of:
1. The Hairy Ball Theorem
2. Cauchy Integral Theorem
3. Nash Equilibrium Theorem
I just hope it’s not a problem that I don’t exactly remember the details anymore.
Random Thought: I’m skeptical of category theory mainly because I’m not entirely sure what advantage we derive from theory encoded in categorical language over theory as classically presented. I’m worried that the difference is only aesthetic. What’s worse, category theorists don’t seem to be able to explain the advantages in anything other than categorical language. Though this comes close.
