Timeline for Homologically trivial submanifolds
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Jun 10, 2010 at 23:06 | comment | added | Ben Wieland | Once you have an immersion, you might try to isotope it to an embedding, but that sounds difficult. You're still allowed to change the embedded manifold! eg, if you have isolated double points, you can change the manifold by the connected sum. If you have a manifold of double points and no triple points, you can probably do something similar, but then you'll probably have the manifold intersecting the boundary, which you're not allowed to change. So maybe this is no better than the Whitney trick (except avoiding $\pi_1$ issues with Whitney). | |
| Jun 10, 2010 at 16:19 | comment | added | Jeffrey Giansiracusa | ah, thanks for correcting my misstatement about taking F to be an immersion. | |
| Jun 10, 2010 at 16:05 | history | answered | Oscar Randal-Williams | CC BY-SA 2.5 |