Timeline for Spec Z is simply connected space? [closed]
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 14, 2018 at 6:30 | review | Reopen votes | |||
| Sep 14, 2018 at 10:52 | |||||
| Sep 14, 2018 at 6:14 | comment | added | David Roberts♦ | That typo was killing me. I had to fix it. | |
| Sep 14, 2018 at 6:14 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
typo
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| Sep 13, 2018 at 18:15 | comment | added | YCor | @R.vanDobbendeBruyn Yes but this does not technically mean that the question (about trivial étale $\pi_1$) is not only about the underlying space. | |
| Sep 13, 2018 at 17:39 | comment | added | R. van Dobben de Bruyn | @YCor: the topological space $\operatorname{Spec} \mathbb Z$ is contractible: you can contract everything to the generic point. But I suspected this was probably not the question... | |
| Sep 13, 2018 at 16:23 | comment | added | YCor | It sounds awkward to phrase the question as a question about the "space" $Spec(Z)$. This seems to be a question about the scheme, not just the underlying topological space, isn't it? | |
| Sep 13, 2018 at 13:27 | history | closed |
abx R. van Dobben de Bruyn Dan Petersen Wojowu S. Carnahan♦ |
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| Sep 13, 2018 at 9:26 | comment | added | user19475 | See also mathoverflow.net/questions/26491/… | |
| Sep 13, 2018 at 9:23 | answer | added | nGroupoid | timeline score: 10 | |
| Sep 12, 2018 at 6:03 | comment | added | Konstantin | Thanks a lot! Simply connected means trivial etale covers only. | |
| Sep 12, 2018 at 4:50 | review | Close votes | |||
| Sep 13, 2018 at 13:30 | |||||
| Sep 12, 2018 at 4:32 | comment | added | Felipe Voloch | By a theorem of Minkowski, there are no unramified extensions of $\mathbb{Q}$. | |
| Sep 12, 2018 at 4:31 | comment | added | Kevin Casto | If you're asking if it has trivial étale fundamental group, this just follows from the fact that $\mathbb Q$ has no unramified extensions. | |
| Sep 12, 2018 at 4:16 | comment | added | Will Chen | What do you mean by simply connected? | |
| Sep 12, 2018 at 4:15 | review | First posts | |||
| Sep 12, 2018 at 6:36 | |||||
| Sep 12, 2018 at 4:12 | history | asked | Konstantin | CC BY-SA 4.0 |