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29 votes
1 answer
4k views

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 ...
Gabriel's user avatar
  • 711
23 votes
3 answers
4k views

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 ...
Yosemite Sam's user avatar
  • 1,889
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(\...
Tomo's user avatar
  • 1,217