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2-coherence of truncation, newer Agda version, etc. #9

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merged 9 commits into from
Dec 16, 2024
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@PHart3 PHart3 commented Dec 15, 2024

  1. This PR adds a proof of 2-coherence for the $n$-truncation functor on coslices (which confirms that it preserves colimits as a left adjoint to the forgetful functor). The proof is a routine verification.
  2. It also updates Docker to run on Agda 2.6.4.3.
  3. Finally, it makes a small change to the definition of homotopy of pointed maps by using the normal identity type instead of path-seq. This makes the definition correct with respect to the structure identity principle.

@PHart3 PHart3 self-assigned this Dec 15, 2024
@PHart3 PHart3 changed the title 2-coherence of truncation on coslices 2-coherence of truncation, newer Agda version, etc. Dec 15, 2024
@PHart3 PHart3 merged commit 4473169 into main Dec 16, 2024
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@PHart3 PHart3 deleted the trunc_coher branch December 16, 2024 00:03
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