Search results for "Profunctor"

showing 2 items of 2 documents

Profunctors in Mal’tsev categories and fractions of functors

2013

We study internal profunctors and their normalization under various conditions on the base category. In the Mal'tsev case we give an easy characterization of profunctors. Moreover, when the base category is regular with any regular epimorphism effective for descent, we characterize those profunctors which are fractions of internal functors with respect to weak equivalences. (C) 2012 Elsevier B.V. All rights reserved.

Normalization (statistics)Settore MAT/02 - AlgebraPure mathematicsAlgebra and Number TheoryFunctorMathematics::Category TheoryEpimorphismProfunctor fractorMathematicsJournal of Pure and Applied Algebra
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Distributors and the comprehensive factorization system for internal groupoids

2017

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.

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