Geodesic
Free A_\infty-categories
Theory and applications of categories, Tome 16 (2006), pp. 174-205.

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

For a differential graded k-quiver Q we define the free A_\infty-category FQ generated by Q. The main result is that the restriction A_\infty-functor A_\infty(FQ, A) \to A_1(Q,A) is an equivalence, where objects of the last A_\infty-category are morphisms of differential graded k-quivers Q \to A.
Classification : 18D05, 18D20, 18G55, 55U15
Keywords: A_\infty-categories, A_\infty-functors, A_\infty-transformations, 2-category, free A_\infty-category 
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     author = {Volodymyr Lyubashenko and Oleksandr Manzyuk},
     title = {Free {A_\infty-categories}},
     journal = {Theory and applications of categories},
     pages = {174--205},
     publisher = {mathdoc},
     volume = {16},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a8/}
}
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Volodymyr Lyubashenko; Oleksandr Manzyuk. Free A_\infty-categories. Theory and applications of categories, Tome 16 (2006), pp. 174-205. http://geodesic.mathdoc.fr/item/TAC_2006_16_a8/