Robuta

Sponsor of the Day: Jerkmate
https://mathoverflow.net/questions/2150/exactness-of-filtered-colimits ct.category theory - Exactness of filtered colimits - MathOverflow Are filtered colimits exact in all abelian categories? In Set, filtered colimits commute with finite limits. The proof carries over to categories sufficiently... ct category theoryfiltered colimitsmathoverflow https://mathoverflow.net/questions/510240/terminology-categories-where-finite-products-commute-with-filtered-colimits ct.category theory - Terminology: categories where finite products commute with filtered colimits -... Is there a name for categories $\mathcal{C}$ with finite products and filtered colimits such that each functor $X \times - : \mathcal{C} \to \mathcal{C}$ for... ct category theoryfiltered colimitsterminologycategoriesfinite https://mathoverflow.net/questions/510316/does-the-category-of-metrizable-spaces-have-filtered-colimits ct.category theory - Does the category of metrizable spaces have filtered colimits? - MathOverflow Consider the category $\mathbf{Met}_c$ of metric spaces with continuous maps. Equivalently, it is the category of Hausdorff spaces that are metrizable.... ct category theoryfiltered colimitsspacesmathoverflow