Timeline for A pair of subset of natural numbers having density, but whose intersection has no density
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 7, 2011 at 17:24 | comment | added | Daniel Litt | Sure, though I think concreteness can't hurt. | |
| Apr 7, 2011 at 8:18 | comment | added | camomille | To phrase it slightly differently : consider C a set with no density. Then set A=2\mathbb{N} and B=2C+(2(\mathbb{N}∖C)+1). Then A and B both have density 1/2. But A∩B=2C. Therefore you just have to pick for C your favorite subset with no density. | |
| Apr 7, 2011 at 7:32 | history | answered | Daniel Litt | CC BY-SA 2.5 |