Timeline for Immersions of $n$-manifolds in $\mathbb{R}^n$ versus embeddings in $\mathbb{R}^{n+1}$
Current License: CC BY-SA 3.0
6 events
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| Apr 18, 2014 at 1:00 | comment | added | Danny Ruberman | Thanks Dylan--that was pretty silly; I fixed the citation. I might add that the survey of Budney and Burton, Embeddings of 3-manifolds in $S^4$ from the point of view of the 11-tetrahedron census (arxiv.org/abs/0810.2346) is a great resource for anything you might want to know about embeddings of 3-manifolds in 4-space. | |
| Apr 18, 2014 at 0:49 | history | edited | Danny Ruberman | CC BY-SA 3.0 |
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| Apr 18, 2014 at 0:11 | comment | added | Dylan Thurston | I think you mean "On embeddings of 3-manifolds in 4-space". The other way around would make a short paper! | |
| Apr 16, 2014 at 21:51 | comment | added | Marc Nardmann | You interpreted my question correctly. Thank you. Just to say it explicitly: Your answer shows also that the answer to Q3 is "n=3", because it is easy to see that every open 2-manifold which is parallelisable (equivalently: orientable) has property P2. (The case n<2 is trivial anyway.) | |
| Apr 16, 2014 at 21:39 | vote | accept | Marc Nardmann | ||
| Apr 16, 2014 at 15:41 | history | answered | Danny Ruberman | CC BY-SA 3.0 |