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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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Profinite completion of a partial order

Let $\mathbf{Po}$ be the category of posets with monotone maps, $\mathbf{PrSp}$ the category of Priestley spaces. Then let $U:\mathbf{PrSp}\to \mathbf{Po}$ be the forgetful functor. The profinite comp …
Yann Pequignot's user avatar
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Profinite completion of a partial order

In Johnstone's Stone Spaces it is proved that the category of profinite partial orders is (equivalent to) the category of ordered Stone spaces (also called Priestley spaces) and that the obvious embed …
Yann Pequignot's user avatar