Timeline for triangulations of torus, general, and Euler number. (Hopefully more interesting/relevant)
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
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| Mar 13, 2018 at 14:57 | answer | added | Gabriel McCracken | timeline score: 0 | |
| May 9, 2010 at 3:12 | comment | added | Charlie Frohman | Get a hold of the book by Croom I mentioned. Also Munkres book on homology theory (it might be called algebraic topology) has a nice section on how to compute with simplicial homology. There are tricks for computing with a large triangulation, and yet only have to work with a little bit, that is in Munkres. You probably want to move on quickly to a book that does singular homology though. I really liked reading the original Greenberg book on algebraic topology. I also read Spanier cover to cover, and worked the exercises. The section of Vick on applications to Euclidian space is nice. | |
| Apr 28, 2010 at 4:32 | comment | added | Herb | Sorry. I meant that after having gained no real insight into the geometry behind spaces by using the big algebraic machinery, I am trying to do some computations of simplicial homology by hand. This is why I asked this question. | |
| Apr 28, 2010 at 4:11 | comment | added | Herb | To Charlie Frohman: This is not a homework question. I am computing the actual simplicial homology of spaces to get insights I do not know how to get by using the algebraic machinery alone (e.g., with simplicial homology) As to not stating my name, I have to admit I feel somewhat intimidated in this forum, being a first-year student at a school other than one of the top 10, specially after having read the resumes/CV's of many here. If this is against MO policy, I apologize, and I will drop out. | |
| Apr 26, 2010 at 18:44 | comment | added | Charlie Frohman | The pattern is pretty clear. Low points, because they just created an account, name that can't be traced back to an individual. Homework question dressed up to look like a little more. | |
| Apr 26, 2010 at 18:08 | comment | added | John Palmieri | Well, the question about "finding minimal triangulations of ... higher-dimensional manifolds" is not at all trivial. | |
| Apr 26, 2010 at 17:36 | comment | added | Charlie Frohman | This can be found in an undergraduate textbook titled "Basic Concepts of Algebraic Topology" by Fred Croom. We really, really shouldn't be working standard questions from algebraic topology classes here. And yet, most of the algebraic topology questions are things I assign as exercises in my graduate classes. | |
| Apr 26, 2010 at 17:28 | answer | added | John Palmieri | timeline score: 8 | |
| Apr 25, 2010 at 4:12 | answer | added | David Eppstein | timeline score: 17 | |
| Apr 25, 2010 at 3:58 | history | edited | Rebecca Bellovin |
edited tags
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| Apr 25, 2010 at 3:53 | comment | added | Herb | My apology. I mistakenly, and carelessly, entered triangulated categories as tags. Sorry. | |
| Apr 25, 2010 at 3:52 | history | asked | Herb | CC BY-SA 2.5 |