Geodesic
Retrocells
Theory and applications of categories, Bunge Festschrift, Tome 40 (2024), pp. 130-179.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The notion of retrocell in a double category with companions is introduced and its basic properties established. Explicit descriptions in some of the usual double categories are given. Monads in a double category provide an important example where retrocells arise naturally. Cofunctors appear as a special case. The motivating example of vertically closed double categories is treated in some detail.
Publié le :
Classification : 18D05, 18C15, 18D15
Keywords: Double category, companion, retrocell, cofunctor, closed bicategory 
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     author = {Robert Par\'e},
     title = {Retrocells},
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     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2024_40_a4/}
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Robert Paré. Retrocells. Theory and applications of categories, Bunge Festschrift, Tome 40 (2024), pp. 130-179. http://geodesic.mathdoc.fr/item/TAC_2024_40_a4/