Timeline for Compact cover of a Hausdorff compact space
Current License: CC BY-SA 2.5
12 events
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| Aug 2, 2010 at 18:36 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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| Aug 2, 2010 at 18:31 | comment | added | Dan Ramras | Very nice! This is closely related to the standard proof that compact subsets of CW complexes always lie inside a finite subcomplex (see the Appendix to Hatcher's book, for example). | |
| Aug 2, 2010 at 10:02 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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| Aug 2, 2010 at 9:57 | comment | added | Robin Chapman | The union of an increasing sequence of subsets of a topological space need not be homeomorphic to the direct limit of that sequence. | |
| Aug 2, 2010 at 9:50 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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| Aug 2, 2010 at 9:43 | comment | added | Robin Chapman | If the $X_i$ are the sets in Andrew's counterexample, the colimit of the $X_i$ is the disjoint union of $\{pt\}$ and $[0,\infty)$ an isn't compact. | |
| Aug 2, 2010 at 9:34 | vote | accept | Dror Atariah | ||
| Aug 2, 2010 at 9:34 | |||||
| Aug 2, 2010 at 9:33 | comment | added | Andrew Stacey | I've reached the opposite conclusion! | |
| Aug 2, 2010 at 9:32 | vote | accept | Dror Atariah | ||
| Aug 2, 2010 at 9:34 | |||||
| Aug 2, 2010 at 9:26 | history | edited | Martin Brandenburg | CC BY-SA 2.5 |
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| Aug 2, 2010 at 9:26 | comment | added | Dror Atariah | Thanks for the quick answer! Could you add a reference where this lemma is cited? I couldn't find one. | |
| Aug 2, 2010 at 9:21 | history | answered | Martin Brandenburg | CC BY-SA 2.5 |