Timeline for Natural examples of functions $f$ in $L^1([0,1])$ such that any function $g$ in the class $[f]$ is discontinuous everywhere
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Jun 3 at 19:13 | answer | added | Nate Eldredge | timeline score: 2 | |
| Jun 3 at 6:53 | comment | added | David Roberts♦ | @PietroMajer That said, the question was edited, I didn't check the timeline as to when. If you didn't know editing it and asking for a fresh pair of eyes was an option, then I can't fault a new user for not knowing! | |
| Jun 3 at 6:22 | comment | added | Pietro Majer | @DavidRoberts no doubt the best solution, thank you! (Shame on me, I've been here for 14 years and wasn't aware of this option... But it seems the poster is just a yearling, so downvoting seems excessive) | |
| Jun 3 at 5:15 | comment | added | David Roberts♦ | @PietroMajer it is better to edit the original question and flag it for attention. | |
| Jun 3 at 2:32 | answer | added | Nate River | timeline score: 4 | |
| Jun 3 at 2:08 | history | edited | Nate River | CC BY-SA 4.0 |
added 12 characters in body
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| Jun 3 at 2:08 | comment | added | Nate River | @PietroMajer It is a doubly good question to ask for motivated examples - that is, examples that arise naturally in the wild and are not constructed for the explicit purpose of providing a counterexample. | |
| Jun 3 at 2:06 | comment | added | Nate River | @PietroMajer I agree that the new version is actually a very instructive example about essential continuity/discontinuity. | |
| Jun 3 at 1:56 | comment | added | Pietro Majer | @LSpice I think the reason for deleting & re-posting was that the question was not exactly stated as the questioner meant as it initially missed the word everywhere (which also made it more trivial). The new version is actually a different less obvious question. I do not see any reason for downvoting | |
| Jun 3 at 1:47 | comment | added | Pietro Majer | A classic exercise in Rudin's Real&Complex analysis asks for a measurable set $C\mathbb R$ that meets every non-enpty open set $A$ has measure $0<|A\cap C|<|A|$. Its characteristic function restricted to [0,1] is an example | |
| Jun 3 at 0:45 | comment | added | LSpice | You already posted this question as Examples of functions $f$ in $L^1([0,1])$ satisfying that any function $g$ in the class $[f]$ is discontinuous everwhere (now deleted), and were also told there that it was more appropriate for MSE. You shouldn't delete a question that already has an answer, and you definitely shouldn't re-post a question that was downvoted without significant improvement. (This one is almost identical.) | |
| Jun 2 at 23:01 | review | Close votes | |||
| Jun 14 at 3:11 | |||||
| Jun 2 at 22:13 | comment | added | paul garrett | This question would be more appropriate for Math Stack Exchange... | |
| Jun 2 at 21:58 | answer | added | Nick Mendler | timeline score: 0 | |
| Jun 2 at 20:45 | answer | added | Saúl RM | timeline score: 3 | |
| Jun 2 at 17:33 | history | asked | John Depp | CC BY-SA 4.0 |