3 papers
math.CT2023
The history of the General Adjoint Functor Theorem
Hans-E. Porst
Not only motivated by the fact that the publication of the GAFT first appeared 60 years ago in print we reconstruct its history and so show that it is no exaggeration to claim that…
math.CT2020
Internal Coalgebras in Cocomplete Categories: Generalizing the Eilenberg-Watts-Theorem
Laurent Poinsot, Hans-E Porst
The category of internal coalgebras in a cocomplete category with respect to a variety is equivalent to the category of left adjoint functors from $\mat…
math.CT2018
Colimits of monoids
Hans-E. Porst
If is a cocomplete monoidal category in which tensoring from both sides preserves coequalizers, then the category of monoids over is cocomplete. The sam…