7 citations · 7 across the 4 of their papers we have counts for
4 papers
Bornological LB-spaces and idempotent adjunctions
Jack Kelly, Lenny Neyt, Sven-Ake Wegner
The notion of an LB-space was introduced by Grothendieck in his 1953 thèse, referring to a countable colimit of Banach spaces taken within the category of locally convex topologica…
Localising invariants in derived bornological geometry
Jack Kelly, Devarshi Mukherjee
We study several categories of analytic stacks relative to the category of bornological modules over a Banach ring. When the underlying Banach ring is a non-Archimedean valued fiel…
A Perspective on the Foundations of Derived Analytic Geometry
Oren Ben-Bassat, Jack Kelly, Kobi Kremnizer
We show how one can do algebraic geometry with respect to the category of simplicial objects in an exact category. As a biproduct, we get a theory of derived analytic geometry.
Flat model structures for accessible exact categories
Jack Kelly
We develop techniques for constructing model structures on chain complexes valued in accessible exact categories, and apply this to show that for a closed symmetric monoidal, local…