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For questions on limits and colimts in the sense of category theory, and related notions.

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limits and products stable $\infty$-category

In an abelian category $\mathcal{A}$, for a system $\{F_i,\phi_{ij}\}$ we have an exact sequence $0\to \lim F_i\to \prod F_i \to \prod F_i$ where the second map is given by $id-\prod\phi_{ij}$. Is the …
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