Timeline for Charts needed for an atlas
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 21, 2015 at 14:07 | history | edited | Igor Rivin | CC BY-SA 3.0 |
fixed tex typo
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| Apr 21, 2015 at 0:00 | vote | accept | Physicist 2.0 | ||
| Apr 20, 2015 at 23:40 | comment | added | Igor Rivin | Submanifolds of $R^3$ are orientable surfaces. For such, the sum of betti numbers is $2g+2,$ where $g$ is the number of handles. For the relationship between this and the Lyusternik-Shnirelman category, see the wikipedia article. | |
| Apr 20, 2015 at 23:28 | comment | added | Physicist 2.0 | yes, this is also the answer in the link that I referred to, but if I want to calculate this for a submanifold in $\mathbb{R}^3$ are there any ways to do this somehow directly? Like how can I see that this number is three for a torus and not just two? I mean there should be simpler arguments available in $\mathbb{R}^3$ and that is what I am looking for. Is there an easy way to do this? | |
| Apr 20, 2015 at 23:19 | history | answered | Igor Rivin | CC BY-SA 3.0 |