Timeline for An example of a complex manifold without a finite open cover
Current License: CC BY-SA 3.0
5 events
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| Jul 9, 2012 at 10:01 | history | edited | user5810 | CC BY-SA 3.0 |
the edit Finnur strangely did not make
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| Apr 12, 2012 at 4:57 | comment | added | Finnur Larusson | Thanks for the correction, Ben, and apologies for citing the wrong result. It is Theorem VI.1 in Fornaess and Stout's paper that I should have cited. And the words "relatively compact" should certainly be deleted. | |
| Feb 16, 2012 at 9:33 | comment | added | Ben McKay | The paper Finnur quotes does prove that there is a finite covering by open sets biholomorphic to polydisks. But you can't choose them to be relatively compact. Actually lemma II.1 proves that you can choose a covering by relatively compact open sets, biholomorphic to polydisks, with a bound on the number of them that can intersect nontrivially. You can cover the complex plane by 3 open sets biholomorphic to polydisks, but they can't be chosen relatively compact. | |
| Jul 28, 2011 at 0:52 | vote | accept | Vamsi | ||
| Jul 21, 2011 at 5:02 | history | answered | Finnur Larusson | CC BY-SA 3.0 |