32 citations · 306 across the 68 of their papers we have counts for
Showing 2020 · math.CTShow all
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math.CT2020★ 1 cited
Additive Grothendieck pretopologies and presentations of tensor categories
Kevin Coulembier
We define a notion on preadditive categories which plays a role similar to the notion of a Grothendieck pretopology on an unenriched category. Each such additive pretopology define…
math.CT2020★ 4 cited
Freely adjoining monoidal duals
Kevin Coulembier, Ross Street, Michel van den Bergh
Given a monoidal category with an object , we construct a monoidal category by freely adjoining a right dual to . We show tha…
math.CT2020★ 23 cited
Monoidal abelian envelopes
Kevin Coulembier
We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an exa…