Geodesic
A universal property of the monoidal 2-category of cospans of ordinals and surjections
Theory and applications of categories, Tome 18 (2007), pp. 631-653.

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

We prove that the monoidal 2-category of cospans of ordinals and surjections is the universal monoidal category with an object X with a semigroup and a cosemigroup structures, where the two structures satisfy a certain 2-dimensional separable algebra condition.
Classification : 18D5, 18D10, 18D35
Keywords: 2-categories, monoidal categories, structured objects 
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     title = {A universal property of the monoidal 2-category of cospans of ordinals and 
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M. Menni; N. Sabadini; R. F. C. Walters. A universal property of the monoidal 2-category of cospans of ordinals and 
surjections. Theory and applications of categories, Tome 18 (2007), pp. 631-653. http://geodesic.mathdoc.fr/item/TAC_2007_18_a19/