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I want to figure out the following question: How to get an $E_\infty$-ring from a commutative differential graded ring? More precisely, let $\operatorname{cdga}$ be the ($1$-)category of cdgas, let $...

(See Jacob Lurie's "Higher Algebra", section 1.3.5 for context.) Let $\mathcal{A}$ be a Grothendieck abelian category. Then the stable $\infty$-category $\mathcal{D}(\mathcal{A})$ is a ...

Let $\mathcal{C}$ be a stable $\infty$-category. Let $Fun(\mathbb{Z},\mathcal{C})$ be the category of sequences of objects in $\mathcal{C}$. Where the category $\mathbb{Z}$ stands for the nerve of the ...