Timeline for Can every manifold be represented as a quotient
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 1, 2021 at 19:33 | history | became hot network question | |||
| Jun 1, 2021 at 13:07 | comment | added | Dmitri Panov | What is funny is that the answer to this question is unknown in case you remove the assumption on $\Gamma$ to be finite (and act freely). This is a well known question asked by Gromov here: ihes.fr/~gromov/wp-content/uploads/2018/08/… page 12, second paragraph | |
| Jun 1, 2021 at 12:52 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor grammar improvement and Math Jaxing (formula hyperlinking)
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| Jun 1, 2021 at 12:44 | comment | added | Sam Nead | Oops, I did not see the finiteness assumption! My brain edited it out... ha! | |
| Jun 1, 2021 at 12:35 | review | Close votes | |||
| Jun 10, 2021 at 3:06 | |||||
| Jun 1, 2021 at 12:26 | comment | added | ABIM | @abx I was about to ask about isometry groups acting freely and properly discontinuously..so these general answers preemptively helped there :) | |
| Jun 1, 2021 at 12:20 | comment | added | abx | Note that the OP asks for finite isometry groups, which implies $\pi_1(X)$ finite... Any compact surface of genus $\geq 1$ is already a counter-example. | |
| Jun 1, 2021 at 12:14 | comment | added | Nick L | Oh yeah, thanks! | |
| Jun 1, 2021 at 12:07 | comment | added | Sam Nead | But avoiding the product of two-spheres... :) | |
| Jun 1, 2021 at 12:04 | comment | added | Nick L | Take any closed, orientable, simply connected $4$-manifold which is not $S^4$. | |
| Jun 1, 2021 at 12:02 | vote | accept | ABIM | ||
| Jun 1, 2021 at 11:59 | answer | added | Sam Nead | timeline score: 8 | |
| Jun 1, 2021 at 11:57 | comment | added | ABIM | @user43326 Ah fair, which spaces have this property? | |
| Jun 1, 2021 at 11:42 | comment | added | user43326 | This would imply that the universal cover is a product of spheres and euclidean spaces, which clearly is false. | |
| Jun 1, 2021 at 11:30 | history | asked | ABIM | CC BY-SA 4.0 |