Timeline for Direct limit of compact topological spaces
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Dec 19, 2015 at 18:37 | history | edited | user9072 |
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| Apr 3, 2015 at 23:39 | vote | accept | Giulio | ||
| Apr 3, 2015 at 19:55 | answer | added | Eric Wofsey | timeline score: 21 | |
| Apr 3, 2015 at 19:52 | comment | added | Giulio | So also T2 and connected is not enough; mine seems a hopeless question | |
| Apr 3, 2015 at 19:51 | history | edited | Giulio | CC BY-SA 3.0 |
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| Apr 3, 2015 at 19:46 | comment | added | Qiaochu Yuan | Yes, that's what I mean. Similarly, for $\mathbb{R}$ take the closed intervals $[-n, n]$. | |
| Apr 3, 2015 at 19:41 | comment | added | Giulio | @QiaochuYuan Do you mean that if we take $X_n$ to be the set $\{1,\dots, n\}$ with the disccret topology and as maps the inclusions, then the limit is $\mathbb{N}$, which is not compact? | |
| Apr 3, 2015 at 19:39 | history | edited | Giulio | CC BY-SA 3.0 |
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| Apr 3, 2015 at 19:31 | comment | added | Qiaochu Yuan | Rarely? I mean, $\mathbb{N}$ is a filtered colimit of compact spaces, and so is $\mathbb{R}$. Can you be more specific about what you're looking for? | |
| Apr 3, 2015 at 19:26 | history | asked | Giulio | CC BY-SA 3.0 |