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math.CT2013
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.
math.CT2012★ 21 cited
Resolutions, higher extensions and the relative Mal'tsev axiom
Tomas Everaert, Julia Goedecke, Tim Van der Linden
We study how the concept of higher-dimensional extension which comes from categorical Galois theory relates to simplicial resolutions. For instance, an augmented simplicial object…