Free ${A}_\infty$-categories

dc.creatorLyubashenko, Volodymyr
dc.creatorManzyuk, Oleksandr
dc.date2003-12-17
dc.date2008-02-17
dc.date.accessioned2026-07-07T09:21:02Z
dc.date.available2026-07-07T09:21:02Z
dc.descriptionFor 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.
dc.description32 pages, LaTeX, uses Paul Taylor's diagrams.sty. Close to published version. Resubmitted for TeXnical reasons
dc.identifierhttps://arxiv.org/abs/math/0312339
dc.identifierhttp://arxiv.org/abs/math/0312339
dc.identifierTheory and Applications of Categories, 16 (2006) No. 9, 174-205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154884
dc.subjectCategory Theory
dc.titleFree ${A}_\infty$-categories
dc.typetext

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