Timeline for Is the ind-completion of a triangulated category triangulated?
Current License: CC BY-SA 4.0
8 events
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Oct 2 at 10:10 | answer | added | Fernando Muro | timeline score: 5 | |
Oct 2 at 8:46 | history | edited | Elías Guisado Villalgordo | CC BY-SA 4.0 |
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Sep 24 at 12:38 | history | edited | Elías Guisado Villalgordo | CC BY-SA 4.0 |
added 92 characters in body
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Sep 20 at 17:38 | history | became hot network question | |||
Sep 20 at 13:03 | comment | added | R. van Dobben de Bruyn | One of the main reasons to work with higher enhancements of triangulated categories (such as differential graded categories, model categories, or any flavour of $\infty$-categories) is that 'basic' category theory constructions behave better. Taking Ind-categories is one example of this (others include taking $\operatorname{Fun}(\mathcal I,\mathcal K)$ from some small category $\mathcal I$). The usual derived category is a homotopy category of one of these enhancements, and taking homotopy category does not commute with most basic operations in (higher) category theory. | |
Sep 20 at 11:07 | history | edited | Elías Guisado Villalgordo | CC BY-SA 4.0 |
edited body; edited body
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Sep 20 at 10:02 | answer | added | Neil Strickland | timeline score: 10 | |
Sep 20 at 9:37 | history | asked | Elías Guisado Villalgordo | CC BY-SA 4.0 |