Timeline for Locally profinite fields ?
Current License: CC BY-SA 2.5
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 17, 2010 at 3:55 | history | edited | Chandan Singh Dalawat | CC BY-SA 2.5 |
deleted 9 characters in body
|
| Mar 4, 2010 at 17:11 | comment | added | Qiaochu Yuan | Or a categorical construction involving l-categories. | |
| Mar 4, 2010 at 9:06 | answer | added | Jared Weinstein | timeline score: 3 | |
| Mar 4, 2010 at 8:58 | comment | added | Chandan Singh Dalawat | I like letters to stand for mathematical objects. A word such as ``$l$-group'' leads me to think of a prime $l$ and a group of order $l^n$ for some $n\in\mathbb{N}$. | |
| Mar 4, 2010 at 8:31 | comment | added | Harry Gindi | You can call it an $\ell$-field, which is a topological field that is an $\ell$-space (locally compact, Hausdorff, and totally disconnected). | |
| Mar 4, 2010 at 8:19 | comment | added | Chandan Singh Dalawat | @Pete: How about "locally compact totally disconnected" ? | |
| Mar 4, 2010 at 8:16 | comment | added | Harry Gindi | @Pete: That's why I phrased it as a question. Thanks for the clarification. | |
| Mar 4, 2010 at 8:15 | comment | added | Pete L. Clark | @Chandan: sorry, I don't like the term "locally profinite field", although it is perfectly correct and self-evident. I usually just say "locally compact field", with the belief that the context will make clear whether I mean to include R and C or not. [Personal anecdote: I used this terminology at the beginning of a 2-hour talk on WC-groups to a very distinguished audience at MSRI. Bjorn Poonen immediately asked, "Do you mean to allow the field to be discrete?" Sigh. Yet another hard lesson on saying exactly what you mean.] | |
| Mar 4, 2010 at 8:08 | comment | added | Pete L. Clark | Please, let's not start this argument up again! [@fpqc: you're right that locally Hausdorff does not imply Hausdorff, since otherwise non-Hausdorff manifolds wouldn't exist, and they do. Chandan is using the convention "locally compact" = "Hausdorff and locally quasi-compact", which is again a standard one, especially among Europeans.] | |
| Mar 4, 2010 at 8:03 | comment | added | Chandan Singh Dalawat | It is. For most of the world, compact spaces are separated by definition. If they had not been, fpqc would have been fpc... | |
| Mar 4, 2010 at 7:38 | comment | added | Harry Gindi | Hausdorffness is a global condition, so it's not included in "locally compact", is it? | |
| Mar 4, 2010 at 6:08 | history | asked | Chandan Singh Dalawat | CC BY-SA 2.5 |