Timeline for Sufficient conditions for a 3D tetrahedral complex to be homeomorphic to a 3D ball
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2012 at 18:54 | vote | accept | IL. | ||
| Apr 26, 2012 at 18:18 | comment | added | Russ Woodroofe | To expand on Joseph O'Rourke's comment: my favorite way to investigate whether a simplicial complex is a ball:<br><br> 1) Compute the $h$-vector, and see if any entries are negative. (If they are, then it is not Cohen-Macaulay, and in particular not a ball). 2) Search for a shelling. If the complex is shellable, it is quite easy to check if it is a ball. Not every triangulation of a 3-ball is shellable, but many small/nice/naturally occurring such triangulations are. (And if a shelling exists, it is often quick to find.) | |
| Apr 25, 2012 at 21:58 | history | edited | IL. | CC BY-SA 3.0 |
added 631 characters in body
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| Apr 25, 2012 at 11:29 | answer | added | Sam Nead | timeline score: 6 | |
| Apr 25, 2012 at 3:26 | answer | added | Igor Rivin | timeline score: 3 | |
| Apr 25, 2012 at 0:40 | comment | added | Joseph O'Rourke | Perhaps you can use shellability and/or constructibility, both of which are sufficient conditions for the pseudomanifold to be homeomorphic to a ball. | |
| Apr 24, 2012 at 21:12 | history | asked | IL. | CC BY-SA 3.0 |