Timeline for Are $\infty$-categories functorially colimits of their simplices?
Current License: CC BY-SA 4.0
4 events
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Sep 20, 2023 at 16:36 | answer | added | Simon Henry | timeline score: 4 | |
Sep 19, 2023 at 18:11 | comment | added | Tim Campion | @SimonHenry Er.... I suppose so. | |
Sep 19, 2023 at 16:49 | comment | added | Simon Henry | Doesn't a possitive answer to your question imply that the identity of $Cat_\infty$ can be factor through a 1-category (the essentialy image of $\Phi$) ? because this is clearly impossible! Unless "coproduct" is interpreted as "$\infty$-groupoid indexed colimits", in whcih case the construction you do in the begining applied to a Segal space instead of a quasicategory should do the trick. | |
Sep 19, 2023 at 16:33 | history | asked | Tim Campion | CC BY-SA 4.0 |