Timeline for Smoothing a piecewise smooth manifold
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2016 at 20:56 | comment | added | Blake | Ok, so is this true in the case where $M$ is transverse to the faces of $C$? | |
| Mar 25, 2016 at 12:07 | comment | added | Sebastian Goette | Then just use the word "transversely". Otherwise $M$ could intersect those faces in rather weird ways. | |
| Mar 25, 2016 at 2:11 | comment | added | Blake | I don't believe that's true. Note that when I say "we can perturb $M$ so that it only intersects faces of $C$ of dimension $d−2$ or greater", I'm also saying that I assume $M$ intersects every face of $C$ transversally. | |
| Mar 25, 2016 at 0:33 | comment | added | Ryan Budney | I think generally you will have to create new intersections when you smooth your map. Think of examples where your original map (of $M$) are highly not-transverse on the skeleta. Even for maps into the plane there appear to be problems. | |
| Mar 24, 2016 at 22:39 | history | edited | Blake |
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| Mar 24, 2016 at 3:58 | review | Close votes | |||
| Mar 24, 2016 at 10:33 | |||||
| Mar 24, 2016 at 3:49 | comment | added | Blake | I believe that M could be smoothed, which seems to be what the result you linked proves, but I don't see how this answer my question about the polyhedral complex. | |
| Mar 24, 2016 at 3:45 | comment | added | Ryan Budney | Plenty. mathoverflow.net/questions/8789/… | |
| Mar 24, 2016 at 3:43 | comment | added | Blake | Do you have a reference that might be useful? | |
| Mar 24, 2016 at 3:41 | comment | added | Ryan Budney | Yes, this is a theorem of Whitney's. | |
| Nov 26, 2015 at 8:49 | history | edited | Blake |
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| Nov 17, 2015 at 5:24 | history | edited | Blake |
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| Nov 15, 2015 at 19:09 | history | edited | Blake |
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| Nov 14, 2015 at 3:01 | review | First posts | |||
| Nov 14, 2015 at 3:12 | |||||
| Nov 13, 2015 at 16:28 | history | asked | Blake | CC BY-SA 3.0 |