Timeline for Local complexity of triangulations
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 4, 2022 at 19:29 | comment | added | Ryan Budney | I think you can also get this kind of result by looking carefully at Whitehead's argument that smooth manifolds admit triangulations. From this perspective the triangulations, locally, are obtained by a standard subdivision of a cubical division of Euclidean space, when restricted to the embedded submanifold. | |
| Dec 24, 2020 at 3:13 | history | edited | Ian Agol | CC BY-SA 4.0 |
added 101 characters in body
|
| Dec 23, 2020 at 20:25 | comment | added | Ian Agol | Yes, this only works up to dimension 7 in general I guess. | |
| Dec 23, 2020 at 19:30 | comment | added | Moishe Kohan | This sounds plausible for smooth manifolds (and maybe this is what Thurston had in mind, especially since the construction of triangulations via Delaunay construction appears in "Word Processing in Groups"). However, there are PL manifolds which are not smoothable (actually, your link mentions such examples). | |
| Dec 23, 2020 at 18:47 | history | answered | Ian Agol | CC BY-SA 4.0 |