Timeline for Is every group object in TopMan a Lie group?
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 13, 2009 at 23:28 | comment | added | Greg Kuperberg | Pete: I guess I can see both sides of the issue. On the one hand, people could ask standard Wikipedia questions forever: What is Rokhlin's theorem, when is Hausdorff dimension different from box-counting dimension, etc. On the other hand, many Wikipedia pages are underdeveloped or flawed, and actually MO could be used to improve them. This question is somewhere in this middle. | |
| Dec 13, 2009 at 22:23 | comment | added | Pete L. Clark | I think I disagree with the idea that if it's on Wikipedia then it's not a good MO question. Wikipedia is a currently voluminous, only mostly correct, and potentially limitless repository of mathematical knowledge. The idea of MO, I think, is that what you are wondering about might be easy or -- better yet -- already known to some other mathematician. I think Theo's question is fine. | |
| Dec 13, 2009 at 21:01 | answer | added | Jason DeVito - on hiatus | timeline score: 9 | |
| Dec 13, 2009 at 20:21 | comment | added | Greg Kuperberg | Let me suggest that you still c-wiki it, and maybe change the question to whether there is some new direction for Hilbert's 5th problem that is not mentioned in Wikipedia. | |
| Dec 13, 2009 at 20:17 | comment | added | Theo Johnson-Freyd | @Greg: That's fair. I wouldn't have known to google for "Hilbert's fifth problem", though, and there is not a link to it from the Wikipedia page on Lie groups. I almost closed the question as "no longer relevant", but it seems that we can only make actions once every 30 seconds, and by then Pete had responded. | |
| Dec 13, 2009 at 20:15 | comment | added | Greg Kuperberg | What I had in mind is that we should freeze or community-wiki questions that exactly match Wikipedia pages. MO should go beyond Wikipedia. | |
| Dec 13, 2009 at 20:14 | vote | accept | Theo Johnson-Freyd | ||
| Dec 13, 2009 at 20:13 | comment | added | Theo Johnson-Freyd | @Greg: Oh, ok. Really, you should put that as an answer, so I can mark the question as answered :) Otherwise, I'll just close the question as no longer relevant. | |
| Dec 13, 2009 at 20:12 | comment | added | Pete L. Clark | @GK: I think what you wrote should have been an answer and not a comment (it answers the question, doesn't it?). I took the liberty of essentially repeating your answer below. We'll see what happens. | |
| Dec 13, 2009 at 20:11 | comment | added | Mariano Suárez-Álvarez | The best there is, if I recall correctly, is that a locally compact topological group such that the identity has a neighborhood which does not contain a subgroup can be smoothed to an analytic manifold in a unique way so that it becomes an analytic Lie group. There was an article in the AMS Notices recently about Gleason, with interesting details about the history of this result | |
| Dec 13, 2009 at 20:10 | answer | added | Pete L. Clark | timeline score: 5 | |
| Dec 13, 2009 at 20:06 | comment | added | Greg Kuperberg | This is exactly Hilbert's fifth problem, which is summarized reasonably in Wikipedia. en.wikipedia.org/wiki/Hilbert%27s_fifth_problem | |
| Dec 13, 2009 at 20:03 | history | asked | Theo Johnson-Freyd | CC BY-SA 2.5 |