/sci/ - Science & Math

>>8449977
By classifying the small ones I mean essentially this:
>take any two small abelian categories
>embed them in suitable module categories
>see if there is an equivalence between the module categories
Now, suppose such an equivalence exists.
>have the equivalence induce an equivalence between the "image" subcategories
>have that equivalence induce an equivalence between the categories we started with
I'll redo what I have done so far now. It should point out possible mistakes or give me certainty I'm not a total crank.

I started with Bert Mendelson's Introduction to Topology, continued with a local book most of you'd make no sense of, and then read Dugundji's Topology. These three work quite well for undergrads, I think. I've also heard lots of good things about Munkres.

For algebraic topology, I'd recommend Rotman's book. Hatcher's book is free, but it somehow lacks the structure I'd expect to have in a textbook.