Timeline for DGA for a general abelian category
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 22, 2018 at 2:11 | vote | accept | Max Schattman | ||
| Sep 13, 2018 at 21:26 | history | edited | David White | CC BY-SA 4.0 |
deleted 13 characters in body
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| Sep 13, 2018 at 21:25 | answer | added | David White | timeline score: 4 | |
| Sep 13, 2018 at 18:23 | comment | added | skd | Sorry, that should've just read "monoidal". | |
| Sep 13, 2018 at 16:05 | comment | added | Max Schattman | or indeed en.wikipedia.org/wiki/Monoid_(category_theory) | |
| Sep 13, 2018 at 16:04 | comment | added | Max Schattman | see ncatlab.org/nlab/show/monoid+in+a+monoidal+category | |
| Sep 13, 2018 at 16:04 | comment | added | Max Schattman | Sorry, I don't see why symmetric is needed to define a monoid object. I understood it was not usual. For example | |
| Sep 13, 2018 at 15:57 | comment | added | skd | You need to assume A is symmetric monoidal to define any notion of a "monoid object". Once you have that, you can define a dga in A to be a monoid in the category of chain complexes of A (which acquires a symmetric monoidal structure). Note that the homotopy category of E_oo-algebras in the derived oo-category of A is equivalent to the category of dgas in A (in the above sense) localized at the quasi-isomorphisms. | |
| Sep 13, 2018 at 15:15 | history | asked | Max Schattman | CC BY-SA 4.0 |