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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 theory filtered colimits mathoverflow 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 theory filtered colimits terminology categories finite https://mathoverflow.net/questions/19116/colimits-in-the-category-of-smooth-manifolds?noredirect=1 ct.category theory - Colimits in the category of smooth manifolds - MathOverflow In the category of smooth real manifolds, do all small colimits exist? In other words, is this category small-cocomplete? I can see that computing push-outs in... ct category theory colimits smooth manifolds mathoverflow https://mathoverflow.net/questions/tagged/limits-and-colimits Newest 'limits-and-colimits' Questions - MathOverflow newest limits questions mathoverflow colimits https://mathoverflow.net/questions/tagged/limits-and-colimits?tab=newest&page=26&pagesize=15 Newest 'limits-and-colimits' Questions - Page 26 - MathOverflow newest limits colimits questions 26 mathoverflow https://mathoverflow.net/questions/510404/structure-of-weighted-colimits ct.category theory - Structure of weighted colimits - MathOverflow I'm going to implicitly use $\infty$-categories throughout. Let $F : \mathcal{I} \to \mathcal{T}$ and $W : \mathcal{I}^{\mathrm{op}} \to \mathcal{S}$ be... ct category theory colimits mathoverflow structure weighted 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 theory filtered colimits spaces mathoverflow