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Show that left adjoints preserve specific colimits #81

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TOTBWF opened this issue May 17, 2022 · 0 comments
Open
4 tasks

Show that left adjoints preserve specific colimits #81

TOTBWF opened this issue May 17, 2022 · 0 comments
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category-theory For issues/pull requests relating to the Cat.* namespace enhancement New feature or request good first issue Good for newcomers

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@TOTBWF
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TOTBWF commented May 17, 2022

In Cat.Functor.Adjoint.Continuous we show that left adjoints preserve colimits generally, but don't show that they preserve specific colimits (coproducts, coequalisers, etc).

This should be pretty mechanical, and any prospective implementor could look at the limit versions of these proofs right here, so this should make a good beginner issue :)

This is blocked on #78.

Checklist

  • Initial Objects
  • Coproducts
  • Coequalisers
  • Pushouts
@TOTBWF TOTBWF added enhancement New feature or request good first issue Good for newcomers category-theory For issues/pull requests relating to the Cat.* namespace labels May 17, 2022
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Labels
category-theory For issues/pull requests relating to the Cat.* namespace enhancement New feature or request good first issue Good for newcomers
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