Geodesic
Composition of modules for lax functors
Theory and applications of categories, CT2011, Tome 27 (2012), pp. 393-444

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

We study the composition of modules between lax functors of weak double categories. We adapt the bicategorical notion of local cocompleteness to weak double categories, which the codomain of our lax functors will be assumed to satisfy. We introduce a notion of factorization of cells, which most weak double categories of interest possess, and which is sufficient to guarantee the strong representability of composites of modules between lax functors whose domain satisfies it.

Publié le :
Classification : 18D05, 18D25
Keywords: double category, lax functor, module, modulation, representability 
@article{TAC_2012_27_a15,
     author = {Robert Par\'e},
     title = {Composition of modules for lax functors},
     journal = {Theory and applications of categories},
     pages = {393--444},
     publisher = {mathdoc},
     volume = {27},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2012_27_a15/}
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Robert Paré. Composition of modules for lax functors. Theory and applications of categories, CT2011, Tome 27 (2012), pp. 393-444. http://geodesic.mathdoc.fr/item/TAC_2012_27_a15/