Timeline for Everywhere differentiable function that is nowhere monotonic
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| Jul 28 at 7:56 | answer | added | dawoool | timeline score: 1 | |
| Oct 17, 2022 at 22:53 | comment | added | fedja | @D.R. Indeed. It seems that AoPS is deleting very old posts nowadays. That's a pity. I wonder when MO will start doing that too :-( | |
| Oct 10, 2022 at 16:03 | comment | added | D.R. | @fedja sadly it seems your link has rotted | |
| Oct 29, 2021 at 20:29 | answer | added | Pietro Majer | timeline score: 1 | |
| Oct 29, 2021 at 16:19 | history | edited | GH from MO |
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| May 16, 2014 at 14:11 | comment | added | GH from MO | @Todd: OK, next time I will be more careful in my wording. | |
| May 16, 2014 at 14:10 | comment | added | Todd Trimble | @GHfromMO Just to be clear, the notion of closure in stackexchange websites is usually understood in the sense given here: meta.stackexchange.com/questions/10582/… . (The notion of deletion is discussed here: meta.stackexchange.com/questions/5221/…) Maybe you didn't mean closure in that sense, but again to be clear for everyone, what I'm saying is that neither closure (in this sense) nor putting the question on hold would be appropriate here. | |
| May 16, 2014 at 13:57 | comment | added | GH from MO | @Todd: I did not mean that the question should be deleted. I only meant that it should be closed in the sense that there is an accepted answer for it. | |
| May 16, 2014 at 13:48 | comment | added | Todd Trimble | In my opinion, this is a fine question for MO. (The answer, despite being a century old, is not necessarily taught in standard courses.) I do not recommend closure. | |
| May 16, 2014 at 13:48 | answer | added | Andrés E. Caicedo | timeline score: 28 | |
| May 16, 2014 at 13:47 | vote | accept | Ricky | ||
| May 16, 2014 at 13:37 | answer | added | GH from MO | timeline score: 34 | |
| May 16, 2014 at 13:19 | comment | added | GH from MO | @fedja: Your comment should appear as an answer, and the question can be closed. | |
| May 16, 2014 at 13:18 | comment | added | fedja | Yes, such functions exist. Denjoy constructed an example about a century ago. There are several ways of doing it, one of the most straightforward being the one I outlined on AoPS: artofproblemsolving.com/Forum/viewtopic.php?p=244776 | |
| May 16, 2014 at 13:17 | comment | added | Liviu Nicolaescu | @ GH from MO: Thanks. Since the derivative of a function satisfies the Darboux property, the question is equivalent to asking whether there exists a differentiable function with a dense set of critical points. | |
| May 16, 2014 at 13:12 | comment | added | GH from MO | @Liviu: He explained that in the second line, in parentheses. | |
| May 16, 2014 at 13:11 | comment | added | Liviu Nicolaescu | Could you define precisely what do you mean by nowhere monotonic? | |
| May 16, 2014 at 12:40 | history | asked | Ricky | CC BY-SA 3.0 |