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Results tagged with infinity-categories
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user 496941
4
votes
0
answers
344
views
Formal properties of limits of $\infty$-categories
I want to understand the usage of $\infty$-categories
in the proof of Proposition 10.5 in the Condensed Mathematics
lecture notes available here: https://www.math.uni-bonn.de/people/scholze/Condensed. …
- 447
0
votes
0
answers
5
views
Comparing the Stacks Project Homotopy limit with limits in the $\infty$-category
In the Stacks project Tag 08TC, there is a definition of a homotopy limit in a derived category, and I expect it to compare with a limit in the $\infty$-categorical enhancement. I guess this is also h …
- 447
5
votes
1
answer
437
views
Proving Zariski descent
I want to understand why the functor $\mathscr{D}$
sending an affine scheme to its associated derived
$\infty$-category satisfies Zariski descent. My understanding
is that one has to show that given a …
- 447
3
votes
2
answers
120
views
Adjunctions and inverse limits of derived categories
Consider a tower $\dots\to A_{2}\to A_{1}$ of rings. This gives rise to a diagram $\mathbb{N}^{\text{op}}\to\text{Cat}_{\infty}$ of $\infty$-categories (confusing $\mathbb{N}^{\text{op}}$ with its ner …
- 447