Timeline for Regarding a positive Lebesgue measure set in $\mathbb{R}^2$
Current License: CC BY-SA 4.0
10 events
when toggle format | what | by | license | comment | |
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Oct 1, 2020 at 4:52 | vote | accept | Duplicate | ||
Oct 1, 2020 at 4:51 | comment | added | Duplicate | Can you give some simple reason or hints why your above defined set is positive measure @fedja? | |
Oct 1, 2020 at 3:22 | comment | added | Duplicate | Thanks. It is working because of the fact that adding a measure zero set to $F$ wouldn't make it interval. Am I right? | |
Oct 1, 2020 at 3:11 | comment | added | Duplicate | Did you mean "interior set empty" by "without inner points"? If that is so then you are saying to take $F$ to be fat Cantor set. Let me check that and I will come here again. | |
Sep 30, 2020 at 18:26 | answer | added | Martin Väth | timeline score: 7 | |
Sep 30, 2020 at 16:35 | comment | added | fedja | Isn't it essentially the same example? Just take the set $\{x,y:x-y\in F\}$ where $F$ is a closed set of positive measure without inner points. | |
Sep 30, 2020 at 13:54 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
slight rephrasing to avoid ambiguity
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Sep 30, 2020 at 11:54 | comment | added | zeraoulia rafik | I think the good example might be work is the A=B= Empty set | |
Sep 30, 2020 at 11:25 | review | First posts | |||
Sep 30, 2020 at 13:15 | |||||
Sep 30, 2020 at 11:22 | history | asked | Duplicate | CC BY-SA 4.0 |