Timeline for What is the best way explain to undergraduates that all 1-dimensional manifolds are orientable?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Feb 17, 2011 at 19:57 | comment | added | Mohan Ramachandran | Have you looked at Milnor's Topology from the differentiable viewpoint where he has an elementary proof of classification of one manifolds using the arclength parametrization approach | |
| Feb 17, 2011 at 17:15 | history | edited | Spiro Karigiannis | CC BY-SA 2.5 |
Added the Haussdorf and paracompact conditions, to exclude pathological examples.
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| Feb 8, 2011 at 10:07 | comment | added | Andrea Ferretti | It seems to me that your argument that any connected curve can be expressed as the image of a single regular parametrized curve does not fall very short of proving that $\mathbb{R}$ and $S^1$ are the only $1$-dimensional varieties. | |
| Feb 7, 2011 at 21:57 | answer | added | jasomill | timeline score: 0 | |
| Feb 7, 2011 at 16:33 | answer | added | Charles Matthews | timeline score: 2 | |
| Feb 7, 2011 at 16:11 | answer | added | Greg Kuperberg | timeline score: 21 | |
| Feb 7, 2011 at 16:08 | answer | added | Andrei Moroianu | timeline score: 5 | |
| Feb 7, 2011 at 15:11 | history | asked | Spiro Karigiannis | CC BY-SA 2.5 |