Timeline for Is the Hausdorff metric on sub-$\sigma$-fields separable?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Nov 3, 2011 at 18:28 | comment | added | Yuri Bakhtin | I see. I was sure wrong. | |
| Nov 3, 2011 at 14:39 | comment | added | Jason Rute | Unfortunately not. (I had thought this at first too.) By Bill Johnson's answer, every pair in your sequence has distance 1/2. (So this sequence doesn't even converge in this metric to the Borel $\sigma$-algebra which it generates.) A similar example is in the original paper. (I just didn't see at the time how to extend it to a collection of size continuum as Bill did.) | |
| Nov 3, 2011 at 4:51 | history | answered | Yuri Bakhtin | CC BY-SA 3.0 |