Timeline for Compactness of the class of connected sets with perimetre smaller than 1?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 5, 2011 at 8:25 | comment | added | kaleidoscop | Very nice example (I actually believed the answer would be yes), Cantor sets are even more vicious than I thought. Thank you very much! | |
| Aug 5, 2011 at 8:21 | vote | accept | kaleidoscop | ||
| Aug 4, 2011 at 9:51 | comment | added | Tapio Rajala | Nice example. It might be interesting to notice that when you consider a subset of the boundary with the Cantor set is removed, the result is true. See R. Cerf, The Hausdorff Lower Semicontinuous Envelope Of The Length In The Plane Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5) I (2002), 33$-$71. archive.numdam.org/ARCHIVE/ASNSP/ASNSP_2002_5_1_1/… | |
| Aug 4, 2011 at 8:44 | history | answered | Sergei Ivanov | CC BY-SA 3.0 |