Profunctors in Mal’tsev categories and fractions of functors

6533b85dfe1ef96bd12bdf37

RESEARCH PRODUCT

Profunctors in Mal’tsev categories and fractions of functors

Enrico Vitale Sandra Mantovani Giuseppe Metere

subject

Normalization (statistics)Settore MAT/02 - Algebra Pure mathematics Algebra and Number Theory Functor Mathematics::Category Theory Epimorphism Profunctor fractor Mathematics

description

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.

year	journal	country	edition	language
2013-07-01	Journal of Pure and Applied Algebra

https://doi.org/10.1016/j.jpaa.2012.10.015

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