Spectral/README.md
2015-12-03 19:55:16 -05:00

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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.