Timeline for Are hammock localizations locally truncated?
Current License: CC BY-SA 4.0
10 events
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| Nov 23, 2021 at 9:04 | vote | accept | Giulio Lo Monaco | ||
| Nov 20, 2021 at 5:03 | comment | added | Tim Campion | Relatedly, I believe it's known that the hom simplicial sets of $\mathfrak C X$ are 3-coskeletal for any simplicial set $X$, and I want to attribute this fact to Emily Riehl. | |
| Nov 18, 2021 at 21:46 | answer | added | Chris Schommer-Pries | timeline score: 2 | |
| Nov 18, 2021 at 11:24 | history | edited | YCor |
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| Nov 18, 2021 at 10:49 | comment | added | Zhen Lin | Perhaps you have some mistaken preconceptions. For example, it is true that the nerve of any category is right orthogonal to the inclusion $\partial \Delta^n \hookrightarrow \Delta^n$ for all $n \ge 3$. But it is also true that every homotopy type can be realised by the nerve of some category. These facts together imply that truncatedness in this sense is not the same as homotopy truncatedness. | |
| Nov 18, 2021 at 10:42 | history | edited | Giulio Lo Monaco | CC BY-SA 4.0 |
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| Nov 18, 2021 at 10:36 | history | edited | Giulio Lo Monaco | CC BY-SA 4.0 |
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| Nov 18, 2021 at 9:44 | comment | added | Giulio Lo Monaco | Alright, as I feared my reasoning is not clear enough. I actually have gone through the details, and I didn't get stuck, so I'm going to edit the question and include a more detailed argument. | |
| Nov 18, 2021 at 9:39 | comment | added | Maxime Ramzi | Given that (as you point out) there must be a mistake and that the argument you give is at most a sketch,it is hard to give an answer that isn't just "if you write a detailed argument, you will get stuck" - it would therefore help both you and potential answerers to write out a more detailed argument :) | |
| Nov 18, 2021 at 9:25 | history | asked | Giulio Lo Monaco | CC BY-SA 4.0 |