28 citations · 59 across the 11 of their papers we have counts for
4 papers · 1 filter
Large limit sketches and topological space objects
Martin Brandenburg
For a (possibly large) realized limit sketch such that every -model is small in a suitable sense we show that the category of cocontinuous functors $\mat…
Bicategorical colimits of tensor categories
Martin Brandenburg
In this expository paper we explain in detail how to construct bicategorical colimits of several kinds of tensor categories, for example essentially small finitely cocomplete K-lin…
Operations on categories of modules are given by Schur functors
Martin Brandenburg
Let be a commutative -algebra. We study families of functors between categories of finitely generated -modules which are defined for all commutative -algebras…
Reflexivity and dualizability in categorified linear algebra
Martin Brandenburg, Alexandru Chirvasitu, Theo Johnson-Freyd
The "linear dual" of a cocomplete linear category is the category of all cocontinuous linear functors . We study the questions of when a…