Free ${A}_\infty$-categories

Details Free ${A}_\infty$-categories Free ${A}_\infty$-categories

2003-12-17

arxiv.org/abs/math/0312339v4

Theory and Applications of Categories, 16 (2006) No. 9, 174-205

Mathematics

Category Theory

32 pages, LaTeX, uses Paul Taylor's diagrams.sty. Close to published version. Resubmitted for TeXnical reasons

Scientific paper

For a differential graded k-quiver Q we define the free A-infinity-category
FQ generated by Q. The main result is that for an arbitrary A-infinity-category
A the restriction A-infinity-functor A_\infty(FQ,A) -> A_1(Q,A) is an
equivalence, where objects of the last A-infinity-category are morphisms of
differential graded k-quivers Q -> A.

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