1,322 karma · joined August 25, 2019
Plus, it wasn't even the Communists who deposed the Czar. He was already gone after the February Revolution, 7 months before. The main contribution of the Communists to the cause was to spend the next two decades committing mass murder and achieving mass starvation.
Rather than organizing the world's information, what if we could organize the world's people?
I do not wish to be organized.A lot of category theory is just identifying that a bunch of similar elementary results across algebra and topology can be stated and proved once in a common framework. The examples in ACC serve to show the different guises the elementary results take in different settings, as well as a source of counterexamples. I would guess this is not to your taste.
The only nontrivial theorems of general interest are the Adjoint Functor Theorems, which give very general existence proofs for universal constructions. For that, the chapter in Saunders Maclane's book is probably better.
Though it could be that none of this is worth your time. Category theory inspires intense enthusiasm from some people, but outside of a few areas of math it's not strictly necessary.
An easy example is a function on a set. If you have function defined on the whole set, you can shrink it to give you a function defined on a subset. If you have functions defined on several subsets, and those functions agree on the overlaps of the subsets, then you can use that to define a function on the union of the subsets. More interesting examples arise in topology and related fields.
I don't know one that avoids diagrams as much as possible, but the book "Abstract and Concrete Categories" is not too diagram heavy. I think the PDF is legally available online.