Timeline for definition of the end of a manifold?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Sep 23, 2021 at 11:26 | comment | added | YCor | Note that it is much easier to define an isolated end than an end. Here "collared end" is a special type of isolated end. | |
| S Sep 23, 2021 at 11:23 | history | suggested | Boar | CC BY-SA 4.0 |
I fixed the misspelling for "asign", turning it into "assign".
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| Sep 23, 2021 at 10:53 | review | Suggested edits | |||
| S Sep 23, 2021 at 11:23 | |||||
| Jan 21, 2010 at 7:19 | comment | added | jsos | Thanks to everyone who answered me, now everything is much clearer! | |
| Jan 21, 2010 at 0:45 | answer | added | Autumn Kent | timeline score: 9 | |
| Jan 20, 2010 at 21:51 | comment | added | Mariano Suárez-Álvarez | One way to define ends of $M$ is as the direct limit $\lim_KC(M\setminus K)$, where $K$ runs through the compact subsets of $M$, $C(M\setminus K)$ is the set of components of $M\setminus K$, the arrows $C(M\setminus K)\to C(M\setminus K')$, for $K\supseteq K'$, is induced by the inclusion $M\setminus K\to M\setminus K'$. The definition using $e(K)$ is just unraveling the usual construction of this direct limit. | |
| Jan 20, 2010 at 21:10 | comment | added | algori | en.wikipedia.org/wiki/End_(topology) | |
| Jan 20, 2010 at 20:57 | comment | added | Mariano Suárez-Álvarez | I imagine he means that the complement of a compact set is homeomorphic to $S^3\times\mathbb R$. | |
| Jan 20, 2010 at 20:52 | history | asked | jsos | CC BY-SA 2.5 |