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math.CT2026
Proto-exact categories and injective Banach modules
Jack Kelly
We develop the basic theory of covers and envelopes in proto-exact categories. As an application, we prove the existence of enough injectives for categories of Banach modules over…
math.CT2021
A note on deriving unbounded functors of exact categories, with applications to Ind- and Pro- functors
Jack Kelly
In this short note we show that under very mild conditions on a functor between exact categories it is possible to derive at the level of…