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Proof of Blakers-Massey Theorem #613

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merged 20 commits into from
Nov 11, 2021
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kangrongji
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This PR contains a cubical proof of the Blakers-Massey Theorem and adds some stuff to library that used in the proof.
It seems there is still no such proof of this fundamental result in homotopy theory, so I decided to spend some time to write one and tried to use as much explicit cubes as possible.

@kangrongji kangrongji closed this Oct 31, 2021
@kangrongji kangrongji reopened this Oct 31, 2021
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@mortberg mortberg left a comment

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Very nice stuff! Thanks for contributing

I only had a few very minor comments about long lines and then I'll be very happy to merge

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@@ -353,6 +354,18 @@ Square :
→ Type _
Square a₀₋ a₁₋ a₋₀ a₋₁ = PathP (λ i → a₋₀ i ≡ a₋₁ i) a₀₋ a₁₋

-- vertical composition of squares
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@aljungstrom Didn't you need something like this in your very big PR?

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Thanks for fixing the long lines so fast! I'll merge as soon as the CI is finished

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Oops:

Not in scope:
  isOfHLevelΠ₂
  at /home/runner/work/cubical/cubical/Cubical/Homotopy/BlakersMassey.agda:354,11-23
  ...

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Oops:

Not in scope:
  isOfHLevelΠ₂
  at /home/runner/work/cubical/cubical/Cubical/Homotopy/BlakersMassey.agda:354,11-23
  ...

My bad. Forgot to use new name.

@ecavallo ecavallo merged commit 71e428a into agda:master Nov 11, 2021
@kangrongji kangrongji deleted the blakersmassey branch November 11, 2021 13:12
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3 participants