Timeline for Does any smooth orbifold can be triangulated by orbi-simplex(triangulation of orbifolds)
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| Mar 9, 2017 at 21:33 | answer | added | Misha | timeline score: 9 | |
| Mar 9, 2017 at 16:16 | comment | added | Sebastian Goette | @HJRW In that case I would suspect that one can triangulate by ordinary simplices such that each closed stratum is a subcomplex (but I know neither a proof nor a reference for that). I thought the OP wanted to have a particular structure at the orbifold points (hence, orbisimplex), maybe such that simplices are transversal to the strata. | |
| Mar 9, 2017 at 15:08 | comment | added | HJRW | @SebastianGoette, a good example to think about is the standard triangulation (with two 2-simplices) of the sphere with three cone points. | |
| Mar 9, 2017 at 13:53 | history | edited | haoyu | CC BY-SA 3.0 |
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| Mar 9, 2017 at 0:14 | review | Low quality posts | |||
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| Mar 9, 2017 at 0:14 | history | edited | haoyu | CC BY-SA 3.0 |
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| Mar 8, 2017 at 23:21 | comment | added | haoyu | @Sebastian Goette, I just want a similar result with "smooth manifold has a triangulation" for orbifold setting. I dont know what the right definition of orbi simplex is, (or if there is one in the literature), perhaps G doesn't have to act on a simplex globally or maybe orbihedron fits better. | |
| Mar 8, 2017 at 15:10 | comment | added | Sebastian Goette | By orbisimplex, do you mean some spaces like $\Delta^n/G$, where $G\subset S_{n+1}$ is a subgroup? Then how do you realise orbifold singularities in dimension $n$ whose isotropy group is too large to fit into $S_{n+1}$? | |
| Mar 8, 2017 at 12:24 | review | Low quality posts | |||
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| Mar 8, 2017 at 12:05 | history | asked | haoyu | CC BY-SA 3.0 |