Timeline for Does every locally compact connected homogeneous metric space admit a vertex-transitive 'grid'?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jun 25, 2020 at 0:24 | comment | added | Misha | For instance, check Thurston's book "Geometry of 3-manifolds." He describes 8 3-dimensional geometries which, by his definition, are the ones admitting an isometric discrete action with quotient of finite volume. But there is a 1-parameter family of 3-dimensional solvable Lie groups, mathoverflow.net/questions/165656/…. | |
| Jun 11, 2020 at 20:57 | comment | added | James E Hanson | @Misha Do you have a reference for this? I'm having difficulty finding the right search phrases. | |
| Oct 7, 2019 at 3:24 | history | became hot network question | |||
| Oct 7, 2019 at 0:24 | comment | added | Misha | Your assumptions are equivalent to that there exists a cocompact lattice in the isometry group of $X$. (The setwise-stabilizer of $Y$ in $Isom(X)$.) This is already false for some 3-dimensional homogeneous manifolds (solvable simply connected Lie groups). | |
| Oct 6, 2019 at 19:48 | vote | accept | James E Hanson | ||
| Oct 6, 2019 at 19:45 | answer | added | YCor | timeline score: 7 | |
| Oct 6, 2019 at 19:44 | history | edited | YCor |
edited tags
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| Oct 6, 2019 at 19:24 | history | edited | James E Hanson | CC BY-SA 4.0 |
I realized I hadn't captured what I wanted with the second bullet point.
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| Oct 6, 2019 at 19:16 | history | asked | James E Hanson | CC BY-SA 4.0 |