Geodesic
Double categories, 2-categories, thin structures and connections
Theory and applications of categories, Tome 5 (1999), pp. 163-175 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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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. 
@article{TAC_1999_5_a6,
     author = {Ronald Brown and Ghafar H. Mosa},
     title = {Double categories, 2-categories, thin structures and connections},
     journal = {Theory and applications of categories},
     pages = {163--175},
     year = {1999},
     volume = {5},
     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/