Timeline for Is there an intrinsic definition of fractal (i.e. not embedded in euclidean space)?
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
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| Jun 1, 2018 at 17:18 | comment | added | Qfwfq | @j0equ1nn: it was in response to the sentence "And in certain cases, this lead to new manifolds which could not be realized as subsets of euclidean spaces". I interpreted it as the OP asserting that some manifolds can't be embedded in euclidean spaces (which is false). But perhaps the OP just meant that certain manifolds can't be embedded in a specific euclidean space (which is the case for the Klein bottle and $\mathbb{R}^3$, mentioned in the first paragraph of the question)... | |
| Jun 1, 2018 at 1:28 | comment | added | j0equ1nn | @Qfwfq That is true, due to Nash. But fractals are far from being smooth manifolds. | |
| May 26, 2015 at 16:19 | answer | added | John B | timeline score: 1 | |
| May 19, 2010 at 3:01 | vote | accept | CommunityBot | ||
| May 18, 2010 at 16:46 | comment | added | Michael Hoffman | I believe you need the addition there of "locally". Any open ball can be mapped to an open set in Euclidean space | |
| May 18, 2010 at 15:18 | vote | accept | CommunityBot | ||
| May 19, 2010 at 3:01 | |||||
| May 18, 2010 at 14:14 | comment | added | Qfwfq | All smooth manifolds can be realized as subsets of Euclidean space of a suitable dimension. | |
| May 18, 2010 at 14:07 | answer | added | Gerald Edgar | timeline score: 11 | |
| May 18, 2010 at 13:54 | answer | added | Vaughn Climenhaga | timeline score: 9 | |
| May 18, 2010 at 13:38 | history | asked | user2529 | CC BY-SA 2.5 |