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.
Profunctors in Mal’tsev categories and fractions of functors / S. Mantovani, G. Metere, E.M. Vitale. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 217:7(2013 Jul), pp. 1173-1186.
Profunctors in Mal’tsev categories and fractions of functors
S. MantovaniPrimo
;G. MetereSecondo
;
2013
Abstract
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.
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