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arXiv · 2104.00666

A note on deriving unbounded functors of exact categories, with applications to Ind- and Pro- functors

Jack Kelly
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Abstract

In this short note we show that under very mild conditions on a functor between exact categories $F:\mathcal{D}\rightarrow\mathcal{E}$ it is possible to derive $F$ at the level of unbounded complexes. We also give applications to deriving functors between $Pro$- and $Ind$- categories.

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Jack Kelly. 2021-04-01. A note on deriving unbounded functors of exact categories, with applications to Ind- and Pro- functors. https://arxiv.org/abs/2104.00666

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