diff --git a/README.md b/README.md index 5bafbf6..60fb70d 100644 --- a/README.md +++ b/README.md @@ -2,3 +2,15 @@ Formalization project of the CMU HoTT group towards formalizing the Serre spectral sequence. +## Things to do for Lean SS project + +Lang's algebra (revised 3rd edition) contains a chapter on general homology theory, with a section on spectral sequences. Thus, we can use this book at least as an outline for the algebraic part of the project. + +###To Do: +- R-modules, vector spaces, +- some basic theory: product, tensor, hom, projective, +- categories of algebras, abelian categories, + +###Already Done: +- definition of algebraic structures such as groups, rings, fields, +- some algebra: quotient, product, free.