Timeline for Hausdorff measure and projections
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 10, 2013 at 22:38 | vote | accept | Axiom | ||
| Nov 10, 2013 at 22:38 | |||||
| Nov 10, 2013 at 21:24 | comment | added | Pietro Majer | In this case I think the answer should be no (see my answer below). Maybe assuming the stronger condition $H^k(\pi(A))=0$ for any projector $\pi$ with finite dimensional range allows a positive answer? | |
| Nov 10, 2013 at 21:10 | answer | added | Pietro Majer | timeline score: 4 | |
| Nov 10, 2013 at 17:41 | comment | added | Axiom | The standard metric on $ \ell^\infty $ which is the supremum metric. And you're right. I should've been more careful about the projections. I meant to say projection onto the first m components. $ \pi_V(x_1, x_2, \dots) = (x_1, \dots, x_m) $. | |
| Nov 10, 2013 at 8:42 | comment | added | Anton Petrunin | For $\ell^2$ the answer seems to be no, for orthogonal projections. For $\ell^\infty$ it is not clear which metric you want to consider on $A$ and which projections | |
| Nov 9, 2013 at 21:20 | history | asked | Axiom | CC BY-SA 3.0 |