Timeline for When do limits and colimits of infinity-categories commute?
Current License: CC BY-SA 3.0
4 events
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| Aug 13, 2014 at 7:45 | history | edited | Dmitry Vaintrob | CC BY-SA 3.0 |
added some info on the case I'm interested in
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| Aug 13, 2014 at 7:22 | comment | added | Dmitry Vaintrob | @Adeel Thanks, but neither of these is quite what I need. I need index diagrams that are more complicated than just products (so 5.5.8.11 isn't enough), and 5.3.3.3 is only about limits/colimits in the category of spaces (I need the category of stable infty-categories). However, there is something about my case that's not that far from the category of spaces, and I'm editing the question accordingly. | |
| Aug 13, 2014 at 4:11 | comment | added | AAK | Under appropriate assumptions one has: Proposition 5.3.3.3: filtered colimits commute with finite limits. And Lemma 5.5.8.11: sifted colimits commute with finite products. | |
| Aug 13, 2014 at 3:38 | history | asked | Dmitry Vaintrob | CC BY-SA 3.0 |