Convexity is the study of convex objects in some real vector space. Convexity is an amazing topic: just from the fact that a set is convex you can deduce all manner of smoothness properties, intersection properties, inequalities, geometric conclusions, and *more*!

I have collected some convexity-related nodes below (yes, this is a metanode). Please `/msg`

me with additions! (Better yet, add *new* convexity-related nodes and `/msg`

me about them...). Please note that although convexity in infinite-dimensional spaces (Banach spaces) is also extremely important, thus far we do not appear to have anything on that topic. So almost everything below is finite dimensional.

### Convexity metanode

- Definition
- Intersection properties
- Inequalities
- Calculus
- Polyhedra
- Infinite dimensional spaces