6533b853fe1ef96bd12acb12

RESEARCH PRODUCT

Distributors and the comprehensive factorization system for internal groupoids

Giuseppe Metere

subject

Settore MAT/02 - AlgebraMathematics::Category Theoryinternal groupoidprofunctorFOS: MathematicsMathematics - Category TheoryCategory Theory (math.CT)factorization systemdistributor18A32 20L05

description

In this note we prove that distributors between groupoids in a Barr-exact category epsilon form the bicategory of relations relative to the comprehensive factorization system in Gpd(epsilon). The case epsilon = Set is of special interest.

https://dx.doi.org/10.48550/arxiv.1701.05139