All Questions
Tagged with infinity-categories homological-algebra
3 questions
29
votes
1
answer
4k
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Why stable $\infty$-categories?
I begin by saying that while I understand what a triangulated / derived category is pretty well, I know nothing about Higher Algebra stuff and not even $\infty$-categories.
I've heard some people say ...
23
votes
3
answers
4k
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how to make the category of chain complexes into an $\infty$-category
I'd like to have some simple examples of quasi-categories to understand better some concepts and one of the most basic (for me) should be the category of chain complexes.
Has anyone ever written down ...
8
votes
2
answers
897
views
Derived functors out of an unbounded derived $\infty$-category
Let $\mathcal A$ be an abelian category. In this lecture, Thomas Nikolaus
Defines the unbounded derived category $\mathcal D(\mathcal A)$ as $\mathcal K(\mathcal A)[W^{-1}]$, where $\mathcal K(\...