Geodesic
Free A_\infty-categories
Theory and applications of categories, Tome 16 (2006), pp. 174-205 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

Voir la notice de l'article

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 
@article{TAC_2006_16_a8,
     author = {Volodymyr Lyubashenko and Oleksandr Manzyuk},
     title = {Free {A_\infty-categories}},
     journal = {Theory and applications of categories},
     pages = {174--205},
     year = {2006},
     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a8/}
}
TY  - JOUR
AU  - Volodymyr Lyubashenko
AU  - Oleksandr Manzyuk
TI  - Free A_\infty-categories
JO  - Theory and applications of categories
PY  - 2006
SP  - 174
EP  - 205
VL  - 16
UR  - http://geodesic.mathdoc.fr/item/TAC_2006_16_a8/
LA  - en
ID  - TAC_2006_16_a8
ER  - 
%0 Journal Article
%A Volodymyr Lyubashenko
%A Oleksandr Manzyuk
%T Free A_\infty-categories
%J Theory and applications of categories
%D 2006
%P 174-205
%V 16
%U http://geodesic.mathdoc.fr/item/TAC_2006_16_a8/
%G en
%F TAC_2006_16_a8
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/