Timeline for Is the smooth singular simplicial set of a smooth manifold a Kan complex?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2022 at 18:00 | comment | added | Yasha | You are absolutely right, in fact the third constraint is determined by the other 2. This is actually enough to convince me that the answer is yes, heuristically. | |
| Mar 29, 2022 at 2:00 | answer | added | Dmitri Pavlov | timeline score: 3 | |
| Mar 29, 2022 at 1:59 | comment | added | Dmitri Pavlov | These constraints are not independent. | |
| Mar 28, 2022 at 21:13 | comment | added | Yasha | Thinking about this more carefully, I think the answer is just no. Consider the horn of a 3-simplex mapping to $R^3$. For the map to smoothly extend, there are three constraints for the differential at the vertex point coming from face differentials. We could accommodate 2 constraints but generically could not accommodate all three. | |
| Mar 28, 2022 at 20:11 | history | asked | Yasha | CC BY-SA 4.0 |