73 citations · 263 across the 15 of their papers we have counts for
15 papers
A relative monotone-light factorisation system for internal groupoids
Alan S. Cigoli, Tomas Everaert, Marino Gran
Given an exact category , it is well known that the connected component reflector from the category $\mathsf{Gpd}(\m…
A classification theorem for normal extensions
Mathieu Duckerts-Antoine, Tomas Everaert
For a particular class of Galois structures, we prove that the normal extensions are precisely those extensions that are "locally" split epic and trivial, and we use this to prove…
Some aspects of semi-abelian homology and protoadditive functors
Tomas Everaert, Marino Gran
In this note some recent developments in the study of homology in semi-abelian categories are briefly presented. In particular the role of protoadditive functors in the study of Ho…
A description of the fundamental group in terms of commutators and closure operators
Mathieu Duckerts-Antoine, Tomas Everaert, Marino Gran
A connection between the Galois-theoretic approach to semi-abelian homology and the homological closure operators is established. In particular, a generalised Hopf formula for homo…
Monotone-light factorisation systems and torsion theories
Tomas Everaert, Marino Gran
Given a torsion theory (Y,X) in an abelian category C, the reflector I from C to the torsion-free subcategory X induces a reflective factorisation system (E, M) on C. It was shown…
The fundamental group functor as a Kan extension
Tomas Everaert, Julia Goedecke, Tim Van der Linden
We prove that the fundamental group functor from categorical Galois theory may be computed as a Kan extension.