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Duskin's Monadicity Theorem #74

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TOTBWF opened this issue May 15, 2022 · 0 comments · May be fixed by #76
Open

Duskin's Monadicity Theorem #74

TOTBWF opened this issue May 15, 2022 · 0 comments · May be fixed by #76
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category-theory For issues/pull requests relating to the Cat.* namespace enhancement New feature or request

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TOTBWF commented May 15, 2022

In order to round out our monadicity theorem collection, it would be fun to prove Duskin's Monadicity Theorem. There are a couple of variantions on this, but the following version seems the most elegant:

A conservative right adjoint U: D → C between finitely complete categories is monadic if any congruence in D which has a quotient in C already has a quotient in D, and that quotient that is preserved by U.
@TOTBWF TOTBWF self-assigned this May 15, 2022
@TOTBWF TOTBWF linked a pull request May 15, 2022 that will close this issue
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@plt-amy plt-amy added enhancement New feature or request category-theory For issues/pull requests relating to the Cat.* namespace labels May 17, 2022
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Duskin's Monadicity Theorem the1lab/1lab
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