172 citations · 627 across the 20 of their papers we have counts for
20 papers
On the profinite fundamental group of a connected Grothendieck topos
Clemens Berger, Victor Iwaniack
We show that finite (i.e. locally finite and decomposition-finite) objects of a connected Grothendieck topos span a Boolean pretopos with an essentially unique Galois point. The au…
Stone duality for spectral sheaves and the patch monad
Clemens Berger, Mai Gehrke
We establish a duality between global sheaves on spectral spaces and right distributive bands. This is a sheaf-theoretical extension of classical Stone duality between spectral spa…
Trees, graphs and aggregates: a categorical perspective on combinatorial surface topology, geometry, and algebra
Clemens Berger, Ralph M. Kaufmann
Taking a Feynman categorical perspective, several key aspects of the geometry of surfaces are deduced from combinatorial constructions with graphs. This provides a direct route fro…
Moment categories and operads
Clemens Berger
A moment category is endowed with a distinguished set of split idempotents, called moments, which can be transported along morphisms. Equivalently, a moment category is a category…
Comprehensive factorisation systems
Clemens Berger, Ralph M. Kaufmann
We establish a correspondence between consistent comprehension schemes and complete orthogonal factorisation systems. The comprehensive factorisation of a functor between small cat…
Gabriel-Morita theory for excisive model categories
Clemens Berger, Kruna Ratkovic
We develop a Gabriel-Morita theory for strong monads on pointed monoidal model categories. Assuming that the model category is excisive, i.e. the derived suspension functor is cons…