16 citations · 78 across the 23 of their papers we have counts for
3 papers · 1 filter
Galois and universal universal coverings of linear categories and fibre products
Claude Cibils, Maria Julia Redondo, Andrea Solotar
Let be a commutative ring. We study the behaviour of coverings of -categories through fibre products and find a criterion for a covering to be Galois or universal.
Fundamental group of Schurian categories and the Hurewicz isomorphism
Claude Cibils, Maria Julia Redondo, Andrea Solotar
Let k be a field. We attach a CW-complex to any Schurian k-category and we prove that the fundamental group of this CW-complex is isomorphic to the intrinsic fundamental group of t…
Full and convex linear subcategories are incompressible
Claude Cibils, Maria Julia Redondo, Andrea Solotar
Consider the intrinsic fundamental group à la Grothendieck of a linear category using connected gradings. In this article we prove that any full convex subcategory is incompressibl…