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3 votes
0 answers
144 views

The assignment of derived infinity category of étale sheaf is an infinity functor?

Consider the ordinary category of schemes $Sch$, for $X\in Sch$, consider the abelian category of étale sheaf with coefficient $\wedge$ as $Mod(X_{ét},\wedge)$, then we can form the derived infinity ...
Yang's user avatar
  • 618
5 votes
1 answer
450 views

Does formation of the derived $\infty$-category preserve pushouts?

Let $B\leftarrow A\to C$ be a diagram of commutative rings, and let $\mathcal{D}(A)$ be the derived $\infty$-category of $A$-modules (as in Lurie's "Higher Algebra"). Then is there an ...
Stahl's user avatar
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