Timeline for 3D surfaces of infinite genus
Current License: CC BY-SA 3.0
4 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 13, 2014 at 16:07 | comment | added | Sam Nead | I believe that, as long as $n \geq 3$ and $g \geq 1$, all of surfaces you mention are homeomorphic. The homeomorphisms are pretty crazy -- you have to "borrow" genus from increasingly distant vertices. | |
| Jul 13, 2014 at 11:17 | comment | added | user10001 | In the construction of the surfaces that you mentioned, instead of a 3-valent tree we could as well use an $n$-valent tree (with $n\geq 3$). Also instead of adding one handle at each vertex we could add any positive number g of handles. Would the surfaces so obtained be homeomorphic to each other independent of choice of g and n ? | |
| Sep 28, 2011 at 9:34 | history | answered | Sam Nead | CC BY-SA 3.0 |