Quotients of unital ${A}_\infty$-categories
| dc.creator | Lyubashenko, Volodymyr | |
| dc.creator | Manzyuk, Oleksandr | |
| dc.date | 2003-06-01 | |
| dc.date | 2008-02-17 | |
| dc.date.accessioned | 2026-07-07T09:21:02Z | |
| dc.date.available | 2026-07-07T09:21:02Z | |
| dc.description | For a full subcategory B of a unital A_infinity-category C a quotient unital A_infinity-category `C/B' is defined. For differential graded categories such quotient is constructed by V.Drinfeld. Our construction is explicit and uses freely generated A_infinity-categories. The quotient D=`C/B' represents the A_infinity-2-functor A \mapsto A_\infty^u(C,A)_{modulo B}, which associates with a given unital A_infinity-category A the A_infinity-category of unital A_infinity-functors C -> A, whose restriction to B is contractible. | |
| dc.description | 92 pages, LaTeX, uses Paul Taylor's diagrams.sty; the A_infiniti Yoneda Lemma is referred to another paper instead of being proved. Resubmitted for TeXnical reasons | |
| dc.identifier | https://arxiv.org/abs/math/0306018 | |
| dc.identifier | http://arxiv.org/abs/math/0306018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154883 | |
| dc.subject | Category Theory | |
| dc.subject | K-Theory and Homology | |
| dc.title | Quotients of unital ${A}_\infty$-categories | |
| dc.type | text |