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A note on deriving unbounded functors of exact categories, with applications to Ind- and Pro- functors (2104.00666v1)
Published 1 Apr 2021 in math.CT and math.KT
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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