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Fix #44: the full Grothendieck construction for (contravariant) pseudofunctors #48

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merged 1 commit into from
Sep 17, 2019

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sstucki
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@sstucki sstucki commented Sep 17, 2019

Now (hopefully) with the correct notion of equality on arrows.

Differences w.r.t. the old version:

  • The fixed version turned out a lot more complicated.
  • This version uses pseudofunctors (rather than plain functors). The associativity and unit laws require coherence conditions which plain functors don't provide. I believe it should be possible to instead give a construction using plain functors into StrictCats (instead of Cats), but the version using pseudofunctors is more general.
  • Interestingly, because of the way the coherence conditions are defined in Pseudofuctor, it was easier to prove the contravariant version of the construction.

…functors. Now (hopefully) with the correct notion of equaltiy on arrows.
@JacquesCarette
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Superb! Thanks a lot.

@JacquesCarette JacquesCarette merged commit 3ed9712 into agda:master Sep 17, 2019
@sstucki sstucki deleted the fix-grothendieck branch September 22, 2019 15:26
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