Geodesic
Double categories, 2-categories, thin structures and connections
Theory and applications of categories, Tome 5 (1999), pp. 163-175.

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

The main result is that two possible structures which may be imposed on an edge symmetric double category, namely a connection pair and a thin structure, are equivalent. A full proof is also given of the theorem of Spencer, that the category of small 2-categories is equivalent to the category of edge symmetric double categories with thin structure.
Classification : 18D05.
Keywords: Double category, 2-category, thin structure, connection. 
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     author = {Ronald Brown and Ghafar H. Mosa},
     title = {Double categories, 2-categories, thin structures and connections},
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     volume = {5},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1999_5_a6/}
}
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Ronald Brown; Ghafar H. Mosa. Double categories, 2-categories, thin structures and connections. Theory and applications of categories, Tome 5 (1999), pp. 163-175. http://geodesic.mathdoc.fr/item/TAC_1999_5_a6/