Timeline for A conjecture on writing a function as a sum of uncountably many points
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2018 at 21:41 | comment | added | fedja | @AndrésE.Caicedo Just consider some mapping $\psi$ that maps several intervals bijectively to $[0,1]$ one after another and use $f_r(x)=\delta_{\psi(r)}(x)$. If you want a homework with a star on it, try to figure out if every countable set can appear as the set of parameters of continuity. I'll give no hints on that one, but, perhaps, somebody else will ;-) | |
| Jun 8, 2018 at 21:18 | comment | added | Andrés E. Caicedo | Cute. Do you have any positive results, showing that several $S[0,a]$ could be continuous? Obviously, $f_r(x)=\delta_r(x)$ gives that $S[0,a]$ is continuous if and only if $a=1$. But I don't see how to get anything else. | |
| Jun 8, 2018 at 14:00 | history | edited | Iosif Pinelis | CC BY-SA 4.0 |
added 1 character in body
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| Jun 8, 2018 at 13:10 | comment | added | fedja | No, you aren't :lol: | |
| Jun 8, 2018 at 13:10 | vote | accept | Ng Ze-An | ||
| Jun 8, 2018 at 13:08 | comment | added | Ng Ze-An | Edit: never mind I’m an idiot LOL | |
| S Jun 8, 2018 at 12:55 | history | answered | fedja | CC BY-SA 4.0 | |
| S Jun 8, 2018 at 12:55 | history | made wiki | Post Made Community Wiki by fedja |