Timeline for The image of homomorphism of fundamental group of closed surface [closed]
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Nov 8, 2013 at 12:47 | comment | added | Misha | @HJRW: Yes, I should have, but I was doing this on a tiny screen... | |
| Nov 8, 2013 at 10:38 | comment | added | HJRW | @J.C.Wu, you might be interested in Scott's paper 'Subgroups of surface groups are almost geometric'. | |
| Nov 8, 2013 at 10:36 | comment | added | HJRW | @Misha, since you say it would be more suitable on MSE, I wonder why you didn't vote to migrate it there? | |
| Nov 8, 2013 at 10:35 | history | closed |
Andy Putman Will Jagy Daniel Moskovich Misha HJRW |
Not suitable for this site | |
| Nov 8, 2013 at 9:31 | history | edited | J.C. Wu | CC BY-SA 3.0 |
added 24 characters in body
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| Nov 8, 2013 at 9:24 | history | edited | J.C. Wu | CC BY-SA 3.0 |
added 24 characters in body
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| Nov 8, 2013 at 9:23 | comment | added | J.C. Wu | I mean: can we find a non-surjective self map f:S→S such that f(S) is a submanifold. | |
| Nov 8, 2013 at 8:31 | comment | added | Misha | @MarkGrant: I voted to close because it is more suitable for MSE. To begin with, it is based on a false premise that non-epimorphism can be induced by a non-surjective map (think of finite covers of the torus to itself); however, this false premise does hold in the higher genus case (why?). Secondly, any continuous map $f: M^m\to N^n$ is homotopic to a surjective map (think of a Peano curve). | |
| Nov 8, 2013 at 7:19 | comment | added | Francesco Polizzi | Taking $\mathbb{T}^2= S^1 \times S^1$, the real $2$-torus, one has $\pi_1(\mathbb{T}^2)=\mathbb{Z} \oplus \mathbb{Z}$. Taking as $\phi$ the projection onto one of the factors, it seems to me that the image of the corresponding self-map $\mathbb{T}^2 \to \mathbb{T}^2$ is a copy of $S^1$. | |
| Nov 8, 2013 at 7:03 | comment | added | Mark Grant | Could the people voting to close please explain why? | |
| Nov 8, 2013 at 6:17 | review | Close votes | |||
| Nov 8, 2013 at 10:39 | |||||
| Nov 8, 2013 at 5:47 | review | First posts | |||
| Nov 8, 2013 at 7:24 | |||||
| Nov 8, 2013 at 5:30 | history | asked | J.C. Wu | CC BY-SA 3.0 |