Timeline for Measure-preserving maps from the square to the cube
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 30, 2022 at 11:45 | history | edited | YCor | CC BY-SA 4.0 |
formatting, added tag
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| Aug 18, 2014 at 20:24 | answer | added | Joonas Ilmavirta | timeline score: 5 | |
| Mar 20, 2013 at 19:37 | comment | added | Mike Steele | No I do not have this either. It may be somewhat easier to drop the measure preserving requirement. | |
| Mar 7, 2013 at 21:58 | comment | added | ε-δ | Do you have an example of an onto map $[0,1]^2\to [0,1]^3$ with the Hölder's exponent $2/3$? | |
| Mar 5, 2013 at 5:22 | comment | added | Anthony Quas | Interesting question... I'm guessing you mean that there's a map onto the unit square that's Lipschitz of order 1/2? I think your argument would say you can't have anything onto the cube of order greater than 1/3. | |
| Mar 4, 2013 at 19:50 | comment | added | Hans | I am not familiar with that stuff but maybe you could approximate 2/3 binary and combine this with that what you know. For instance: $id \times f: R^2 \times R \rightarrow R^2 \times R^2$ brings you $R^3 \rightarrow R^4$. Doubling it with $f$ brings with bring $R^6 \rightarrow R^8$. Concatenating one $f$ brings $R^6 \rightarrow R^9$. Taking third root brings a first approximation $R^2 \rightarrow R^3$. Etc. - Maybe its a phantasy. | |
| Mar 4, 2013 at 16:29 | history | asked | Mike Steele | CC BY-SA 3.0 |