1 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
Analytic Hochschild-Kostant-Rosenberg Theorem
Jack Kelly, Kobi Kremnizer, Devarshi Mukherjee
Let be a Banach ring. We prove that the category of chain complexes of complete bornological -modules (and several related categories) is a derived algebraic context in the…
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…
Koszul duality in exact categories
Jack Kelly
In this paper we establish Koszul duality type results in the setting of chain complexes in exact categories. In particular we prove generalisations of Vallette's cooperadic Koszul…
Homotopy in Exact Categories
Jack Kelly
In this monograph we develop various aspects of the homotopy theory of exact categories. We introduce different notions of compactness and generation in exact categories , and u…