Timeline for Right Notion of Localizing Subcategory in Quasicategory
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Nov 15, 2012 at 16:45 | comment | added | Jonathan Beardsley | Yeah, that is an interesting question to me as well Fernando. However, @Akhil, I feel that maybe being closed under all colimits is too strong a condition? | |
| Nov 15, 2012 at 8:59 | comment | added | Fernando Muro | Your question rises a nice point, ¿are all localizing subcategories of a triangulated categories reflective? I think that, so far, the answer is only known 'up to set theory'. | |
| Nov 15, 2012 at 1:50 | comment | added | Jonathan Beardsley | Yes I do. Thanks, I will check out Lurie's book. | |
| Nov 15, 2012 at 1:09 | comment | added | Akhil Mathew | Do you mean in the sense of Hovey, Palmieri, and Strickland's book? I'm pretty sure that this is equivalent to saying that the subcategory is closed under colimits. (A useful reference here is 1.4.4.1 of Lurie's "Higher Algebra.") The point is that once your subcategory has all coproducts and is stable, you get all colimits for free. | |
| Nov 14, 2012 at 23:04 | history | asked | Jonathan Beardsley | CC BY-SA 3.0 |