Spectral

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.