Timeline for Can one properly embed a differential manifold into numerical space of double dimension? [duplicate]
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
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| Nov 25, 2014 at 3:47 | review | Reopen votes | |||
| Nov 26, 2014 at 23:20 | |||||
| Nov 25, 2014 at 0:56 | comment | added | Ryan Budney | Whitney's argument in his self-intersections paper applies to arbitrary manifolds provided you start with an immersion that is "proper" (not in Whitney's sense, but in the sense that the pre-image of compact sets is compact). The existence of such immersions follows from partitions of unity, and appears in the Guillemin and Pollack textbook. | |
| Nov 24, 2014 at 23:30 | history | closed |
Igor Rivin Stefan Waldmann Stefan Kohl♦ Anton Petrunin Ryan Budney |
Duplicate of Strong Whitney embedding theorem for non-compact manifolds | |
| Nov 24, 2014 at 23:19 | comment | added | NAME_IN_CAPS | See also math.stackexchange.com/questions/31462/… | |
| Nov 24, 2014 at 19:16 | comment | added | Georges Elencwajg | Dear @Ricardo: you are absolutely right and I have done exactly what you suggest. | |
| Nov 24, 2014 at 18:49 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
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| Nov 24, 2014 at 18:45 | comment | added | Ricardo Andrade | Dear @Georges Elencwajg, I think this question might get closed as a duplicate of my question which Igor Rivin linked to. As such, if the existing answer to my question is insufficient for you and you really want a literature reference, you may want to edit your question to clearly explain that. | |
| Nov 24, 2014 at 18:37 | comment | added | Ricardo Andrade | I second @Georges Elencwajg's request for a reference in the literature. I have never been able to find one. | |
| Nov 24, 2014 at 14:19 | comment | added | Georges Elencwajg | @Igor: Ryan Budney very concisely sketches a strategy for modifying Whitney's proof into one giving a proper embedding. Is there an actual proof in the literature ? | |
| Nov 24, 2014 at 13:45 | history | edited | Stefan Kohl♦ | CC BY-SA 3.0 |
Fixed some typo's, and added top-level tags.
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| Nov 24, 2014 at 13:42 | review | Close votes | |||
| Nov 24, 2014 at 23:30 | |||||
| Nov 24, 2014 at 13:12 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
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| Nov 24, 2014 at 13:03 | history | asked | Georges Elencwajg | CC BY-SA 3.0 |