Timeline for Connectifications?
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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Jun 3, 2011 at 9:15 | vote | accept | wood | ||
Jun 1, 2011 at 13:46 | comment | added | Todd Trimble | @wood: please see my elaboration on Qiaochu's answer. | |
Jun 1, 2011 at 13:44 | answer | added | Todd Trimble | timeline score: 13 | |
Jun 1, 2011 at 13:15 | comment | added | wood | but what if we defined it by such a universal property? | |
Jun 1, 2011 at 12:45 | comment | added | Henno Brandsma | a connectification of a space $X$ is just a space $Y$ that is connected and contains $X$ as a dense subspace. It's not minimal in a sense that would imply some universal property like a completion. If $X$ has compact open proper subsets, it cannot have a Hausdorff connectification. This applies to the Cantor set e.g. | |
Jun 1, 2011 at 12:09 | answer | added | Qiaochu Yuan | timeline score: 13 | |
Jun 1, 2011 at 12:05 | answer | added | Henno Brandsma | timeline score: 3 | |
Jun 1, 2011 at 11:41 | history | asked | wood | CC BY-SA 3.0 |