Timeline for Does Bergman metric induce the standard topology?
Current License: CC BY-SA 4.0
5 events
when toggle format | what | by | license | comment | |
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Jul 19, 2018 at 11:48 | comment | added | Donu Arapura | Yes, that's right $\Omega$ should be connected. | |
Jul 19, 2018 at 11:36 | comment | added | Luke Diahan | Thank you for your comment. All we need further is that $\Omega$ is connected so the definition makes sense. | |
Jul 19, 2018 at 11:31 | comment | added | Donu Arapura | No, what happens on the boundary is not relevant for whether $d$ is a metric and for the topology it generates. | |
Jul 19, 2018 at 1:21 | comment | added | Luke Diahan | You mean that these are true for any open, bounded domain $\Omega$ in $\mathbb{C}^{n}$ without any assumption on the smoothness of its boundary. | |
Jul 18, 2018 at 20:12 | history | answered | Donu Arapura | CC BY-SA 4.0 |