[adamnemecek]

> In my experience, a paper written in such fashion where you don't even define what objects you are working with wouldn't even pass as an acceptable undergraduate paper.

Don't read it, it's apparently too stressful for you. You are right, I assume some knowledge but I don't know if this discourse is productive, you are too hung up on things that don't matter.

C is general. Coproduct is a general construct.

Read the Diaconis paper first, you might get what I'm getting at.

[LudwigNagasena]

I suggest you to re-read Diaconis paper, you might get what I’m getting at. It looks like a proper math paper with proper exposition.