Timeline for Is there a Whitney Embedding Theorem for non-smooth manifolds?
Current License: CC BY-SA 2.5
20 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Apr 21, 2021 at 21:48 | history | bounty ended | John Samples | ||
| S Apr 21, 2021 at 21:48 | history | notice removed | John Samples | ||
| Apr 21, 2021 at 21:47 | answer | added | Moishe Kohan | timeline score: 5 | |
| Apr 21, 2021 at 21:39 | comment | added | John Samples | Or at least, I'll try! Might not let me. | |
| Apr 21, 2021 at 21:31 | comment | added | John Samples | @MoisheKohan If you post it as an answer (with slight details) I'll give it the bounty! Just @ me | |
| Apr 17, 2021 at 3:05 | comment | added | Moishe Kohan | The case $n=4$ follows from: (a) The embedding theorem holds for compact topological manifolds; (b) every open 4-manifold is smoothable (Quinn). | |
| S Apr 14, 2021 at 18:33 | history | bounty started | John Samples | ||
| S Apr 14, 2021 at 18:33 | history | notice added | John Samples | Canonical answer required | |
| Mar 22, 2021 at 15:58 | comment | added | Z Wu | In Munkres's Topology, 2nd edition, pg 316 exercise 11: A space $X$ can be imbeded as a closed subspace of $\mathbb{R}^N$ for some $N$ if and only if $X$ is locally compact and Hausdorff with a countable basis, and has finite topological dimension. So any finite dimensional topological manifold (i.e. finite dimensional, Hausdorff, secound countable, locally Euclidean space) can embed into some $\mathbb{R}^N$. (Note that locally Euclidean space is locally compact, see tag [topological manifold] in nLab) | |
| Feb 5, 2014 at 14:18 | history | edited | user9072 |
edited tags
|
|
| Aug 11, 2011 at 15:31 | answer | added | Alfredo Hubard | timeline score: 3 | |
| Aug 5, 2010 at 22:41 | answer | added | Tom Goodwillie | timeline score: 51 | |
| Aug 5, 2010 at 21:44 | vote | accept | Jake | ||
| Aug 5, 2010 at 17:45 | comment | added | Ryan Budney | Small point, but when $n=0$ you need the manifold to be connected for the above statement to be true. | |
| Aug 5, 2010 at 17:36 | answer | added | Robin Chapman | timeline score: 4 | |
| Aug 5, 2010 at 17:31 | answer | added | Jack Lee | timeline score: 10 | |
| Aug 5, 2010 at 17:28 | answer | added | José Figueroa-O'Farrill | timeline score: 6 | |
| Aug 5, 2010 at 17:28 | answer | added | Andrea Ferretti | timeline score: 24 | |
| Aug 5, 2010 at 17:26 | answer | added | Andy Putman | timeline score: 58 | |
| Aug 5, 2010 at 17:20 | history | asked | Jake | CC BY-SA 2.5 |