Timeline for Fundamental groups of noncompact surfaces
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| May 25, 2018 at 20:25 | comment | added | Andy Putman | @Michael: Since both the real projective plane and the Klein bottle are compact, the theorem doesn't apply to them. | |
| May 25, 2018 at 16:35 | comment | added | Michael | I was not aware of this interesting result, and I cannot immediately picture it visually for $\mathbb{R}P^2$ or for Klein bottle. Could you refer me to an explicit construction for either? | |
| Mar 17, 2010 at 17:19 | history | edited | Andy Putman | CC BY-SA 2.5 |
added 600 characters in body
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| Mar 17, 2010 at 16:05 | comment | added | Igor Belegradek | It would be nice to have a good source of information on proper Morse functions; I could not find any reasonable account, and I suspect there may be some subtle issues there. But I agree with Mohan that Morse theory argument should work for the problem at hand, and I think it should work in any dimension. | |
| Mar 17, 2010 at 15:34 | comment | added | Andy Putman | Is this a general fact about noncompact manifolds, or is this special to surfaces? I haven't managed to prove it, but that doesn't mean that it isn't as easy as you claim it is... | |
| Mar 17, 2010 at 15:17 | comment | added | Mariano Suárez-Álvarez | Is there a topological version? | |
| Mar 17, 2010 at 13:57 | history | answered | Mohan Ramachandran | CC BY-SA 2.5 |