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2-coherence of Suspension-Loop adjunction #8

Merged
merged 24 commits into from
Dec 4, 2024
Merged

2-coherence of Suspension-Loop adjunction #8

merged 24 commits into from
Dec 4, 2024

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PHart3
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@PHart3 PHart3 commented Dec 4, 2024

This PR adds a proof that the Suspension-Loop adjunction is 2-coehrent (which ensures that it preserves colimits). It is found in HoTT-Agda/theorems/homotopy/SuspAdjointLoop.agda.

Many small ancillary results have been added in various places. Also, the PR develops some new results about homogenous types, which include loop spaces, to simplify the proof. The simplification is essentially an adaptation of "Cavallo's trick."

All changes happen in the HoTT-Agda folder. Both the Dockerfile and the HoTT-Agda README have been updated in light of the new code.

@PHart3 PHart3 self-assigned this Dec 4, 2024
@PHart3 PHart3 merged commit 60a834c into main Dec 4, 2024
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@PHart3 PHart3 deleted the 2_coher branch December 4, 2024 18:35
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