Timeline for Sets having large capacity
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 11, 2019 at 10:30 | comment | added | Mateusz Kwaśnicki | @NicolaArcozzi: Ah, right! Of course. | |
| Jun 11, 2019 at 9:57 | comment | added | Nicola Arcozzi | Well, not really: even using finite unions of arcs, you can construct subsets of the circle having arbitrarily small Lebesgue measure and capacity as close as you wish to that of the unit circle. You distribute the (small) length among many arcs of the same length and uniformly distributed in the circle. | |
| Jun 11, 2019 at 9:25 | comment | added | Mateusz Kwaśnicki | My very uneducated guess would be that the deficit is simply comparable to the Lebesgue measure of $\mathbb{S} \setminus E$. Would that agree with your intuition? | |
| Jun 10, 2019 at 13:45 | history | edited | Nicola Arcozzi | CC BY-SA 4.0 |
edited body
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| Jun 10, 2019 at 13:44 | comment | added | Nicola Arcozzi | My typo: I edit right away. Thanks. | |
| Jun 10, 2019 at 13:08 | comment | added | Yuval Peres | In first question do you really want to mix Cap_1 and Cap_2 on LHS? and on RHS ? | |
| Jun 10, 2019 at 9:54 | history | edited | Nicola Arcozzi | CC BY-SA 4.0 |
added 3 characters in body
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| Jun 10, 2019 at 9:40 | history | asked | Nicola Arcozzi | CC BY-SA 4.0 |