Timeline for An explicit description of Lawvere's segment in the category of simplicial sets
Current License: CC BY-SA 2.5
5 events
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| Mar 13, 2011 at 21:56 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Mar 13, 2011 at 21:47 | comment | added | D.-C. Cisinski | I don't think this is reasonnable: the functor which takes a set $S$ to the contractible groupoid with $S$ as a set of objects is fully faithful, and so is the nerve functor. Therefore, you can count the number of maps $G_2\to G_2$: there are four of them. But you can find countably many maps $N(G_2)\to L$ (i.e. subobjects of the nerve of $G_2$): for instance, consider the skeletons $Sk^n(N(G_2))$, $n\geq 0$. Therefore $N(G_2)$ cannot be isomorphic to $L$. | |
| Mar 13, 2011 at 17:00 | vote | accept | Harry Gindi | ||
| Mar 13, 2011 at 17:05 | |||||
| Mar 13, 2011 at 6:30 | history | edited | Harry Gindi | CC BY-SA 2.5 |
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| Mar 13, 2011 at 5:12 | history | answered | Harry Gindi | CC BY-SA 2.5 |