Timeline for Triangulating piecewise-linear manifolds
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 20, 2023 at 9:43 | comment | added | Bruno Martelli | I definitely suggest the book of Rourke and Sanderson for everything concerning PL. | |
| Dec 19, 2023 at 19:54 | comment | added | Ian Agol | In Rourke and Sanderson a PL manifold is assumed to be a simplicial complex (with PL charts to Euclidean space). | |
| Dec 18, 2023 at 19:26 | comment | added | Ryan Budney | Usually PL maps are defined in terms of them being locally PL, via charts, just like how smoothness is defined locally via charts. The map being PL with respect to a triangulation is then a consequence of the triangulability theorem. For Q2, one way to get this is to follow Whitehead's argument about triangulability of smooth manifolds and see what it gives you in the PL setting where things become easier. Perhaps there is an individual reference for this result, but I suspect most people just think of Whitehead's argument. | |
| Dec 18, 2023 at 18:12 | history | asked | Vadim | CC BY-SA 4.0 |