diff --git a/README.md b/README.md index f57acd7..4dca86a 100644 --- a/README.md +++ b/README.md @@ -1,6 +1,9 @@ # Spectral Sequences -Formalization project of the CMU HoTT group towards formalizing the Serre spectral sequence. +Formalization project of the CMU HoTT group to formalize the Serre spectral sequence. + +*Update July 16*: The construction of the Serre spectral sequence has been completed. The result is `serre_convergence` in `homotopy.serre`. +The main algebra part is in `algebra.spectral_sequence`. This repository also contains the contents of the MRC group on formalizing homology in Lean. @@ -18,7 +21,7 @@ Jeremy Avigad, Steve Awodey, Ulrik Buchholtz, Floris van Doorn, Clive Newstead, ### Outline -These projects are mostly done +These projects are done - Given a sequence of spectra and maps, indexed over `ℤ`, we get an exact couple, indexed over `ℤ × ℤ`. - We can derive an exact couple. diff --git a/homotopy/serre.hlean b/homotopy/serre.hlean index 6fa77af..dfef176 100644 --- a/homotopy/serre.hlean +++ b/homotopy/serre.hlean @@ -267,5 +267,4 @@ section serre qed end serre - end spectrum