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3
votes
Accepted
$\infty$-categorical enhancement of $\mathsf{D}_\mathsf{B}(\mathsf{A})$
As Harrison notes in the comments, we may define $\mathcal{D}_{\mathsf{B}}(\mathsf{A})$ as the full subcategory of $\mathcal{D}(\mathsf{A})$ consisting of objects $X$ such that $\pi_0(X[n])\in\mathsf{ …
8
votes
1
answer
315
views
$\infty$-categorical enhancement of $\mathsf{D}_\mathsf{B}(\mathsf{A})$
In this question, it is asked why we like to consider $\mathsf{D}_\textrm{qc}(X)$ rather than $\mathsf{D}(\mathsf{QCoh}(X)).$ Professor Cisinski answers rather convincingly that the $\infty$-categoric …