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arXiv · 1811.12255

So, what is a derived functor?

V. Hinich
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Abstract

In the context of infinity categories, we rethink the notion of derived functor in terms of correspondences. This is especially convenient for the description of a passage from an adjoint pair (F,G) of functors to a derived adjoint pair (LF,RG). In particular, canonicity of this passage becomes obvious. 2nd version: added comparison to Deligne's definition (SGA4) and a discussion of diagrams of derived functors. Introduction rewritten and references added. 3rd version: description of Kan extensions in terms of correspondences more detailed. 4th version: the final version accepted to HHA.

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V. Hinich. 2018-11-29. So, what is a derived functor?. https://arxiv.org/abs/1811.12255

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