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Results tagged with infinity-categories
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user 2503
Part of higher category theory that for instance in Algebraic Topology enables us to capture finer homotopic distinctions. As in say Eilenberg-Maclane spaces.
3
votes
DG categories - pre-triangulated versus small limits
At least one direction of the question is answered by the paper
Giovanni Faonte, Simplicial nerve of an A-infinity category, arXiv:1312.2127.
See section 4.2, where he proves that for a pre-triang …
- 5,901
21
votes
Stable infinity categories vs dg-categories
See the recent paper
Lee Cohn, Differential graded categories are k-linear stable infinity categories, arXiv:1308.2587
where a proof has been written down. The precise statement is that the under …
- 5,901
16
votes
DG categories in algebraic geometry - guide to the literature?
There are plenty of interesting dg-categories one can associate to a scheme. From the point of view of six functor yoga, these should be viewed as "categories of coefficients" for cohomology theories …
- 5,901
5
votes
When are homotopy categories of model categories closed modules over the homotopy category o...
I am not sure if this will answer your question, but it may at least point you in the right direction (or at least some direction).
Let me start with some classical background.
Let $C$ be a category …
- 5,901