Timeline for Why is complex projective space triangulable?
Current License: CC BY-SA 2.5
4 events
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| Apr 20, 2010 at 12:48 | comment | added | Robin Chapman | If anyone is still interested, a paper on triangulations of $CP^2$ by Bagchi and Datta appeared on the ArXiV today: uk.arxiv.org/abs/1004.3157 . | |
| Apr 14, 2010 at 5:55 | comment | added | Robin Chapman | Thanks, John. As Sergeraert says, he hasn't proved his triangulations actually are homeomorphic to $CP^n$! It's still a surprise that explicit triangulations are apparently not known, but on first sight, Tyler's idea looks sound to me. It shows the problem is harder than it looks. | |
| Apr 13, 2010 at 21:43 | comment | added | John Palmieri | I've browsed through some of Sergeraert's work before, but I hadn't seen this paper. Unfortunately, it seems to deal with simplicial sets, not simplicial complexes, and it's not clear how to get from a simplicial set structure to a simplicial complex structure. Is it? (A preprint by Lutz (arxiv.org/abs/math/0506372) says that explicit triangulations, as simplicial complexes, of CP^n are not known for n>2.) | |
| Apr 13, 2010 at 18:57 | history | answered | Robin Chapman | CC BY-SA 2.5 |