Timeline for Uniform Embedding into Euclidean Space
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 6, 2012 at 17:08 | comment | added | Anton Petrunin | @Hannes, I do not think so. It might be no nice "iff"-description. | |
| Jul 6, 2012 at 15:03 | comment | added | Hannes Thiel | Thank you Anton, I agree that the ($\epsilon$,$\delta$)-covering property that you mention is preserved by uniform equivalence. I just remark that it reminds me of the box-counting dimension of metric spaces, and this dimension is preserved by Lipschitz equivalence, but I think not by uniform equivalence (of course, you didn't claim that). Do you think that the ($\epsilon$,$\delta$)-covering property (together with finite uniform covering dimenion) will be sufficient for uniform embedding into Euclidean space? Is this covering property totally independent of the uniform covering dimension? | |
| Jul 5, 2012 at 16:16 | history | answered | Anton Petrunin | CC BY-SA 3.0 |