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π₄S³≡ℤ/2 #715
π₄S³≡ℤ/2 #715
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This is amazing! I had a lot of small nitpicking comments and the only major change I would like to do is to rewrite the Summary a bit
@@ -4,13 +4,16 @@ This file contains a summary of what remains for π₄(S³) ≡ ℤ/2ℤ to be p | |||
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The comment above here needs to be updated
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Actually I think the file should be reorganized a bit, maybe dropping the π₄S³ module and just stating the key results in sequence
@mortberg So, fixed the stuff now. As discussed I left the summary file for you:-) |
Congratulations! It's great to see a complete formalization come into reality! |
Finally managed to clean this mess up a bit... This PR contains the final steps of the proof of π₄S³≡ℤ/2. More specifically:
Exact4
). This construction was pretty useful for transporting between various exact sequences, so I think we should keep it. It captures a pretty common situation anyway.Cubical.Homotopy.Group.Pi4S3.BrunerieIso
)Cubical.Homotopy.HopfInvariant.Brunerie
.Cubical.Homotopy.Group.Pi4S3.Summary
)