Timeline for Can one disjoin any submanifold in $\mathbb R^n$ from itself by a $C^{\infty}$-small isotopy?
Current License: CC BY-SA 4.0
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Dec 4, 2018 at 21:29 | comment | added | aglearner | Dean, my original question was more general, and John immediately gave a counterexample, which illustrates that vanishing of the Euler class doesn't guarantee existence of a non-vanishing section. However, since I really want the answer to my question above (about submanifolds of $\mathbb R^n$), I decided to modify the original question. So now John's answer doesn't answer the current question, but it nicely illustrates it. | |
Dec 4, 2018 at 21:05 | comment | added | Deane Yang | @aglearner, is your question about a submanifold in an arbitrary manifold or a submanifold of $\mathbb{R}^n$? | |
Dec 4, 2018 at 19:16 | history | edited | John Klein | CC BY-SA 4.0 |
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Dec 4, 2018 at 12:24 | comment | added | aglearner | Thank you John. I edited the question, because I do want to know the answer to a part of the original question, which was not covered in the previous question on mathoverflow. | |
Dec 4, 2018 at 12:22 | history | answered | John Klein | CC BY-SA 4.0 |