Timeline for A question on PL-topology and polytopal complex
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Sep 19, 2010 at 19:01 | comment | added | Bruno Martelli | By a "holed torus" I mean a standard torus surface in <math>\mathbb R^3</math> (a 2-dimensional object) with one small open disc removed: it is a compact surface with (1-dimensional) connected boundary. Another example of compact surface in 3-space with connected boundary which is not a disc is a Mobius strip. In fact, every compact surface with boundary embeds in 3-space. | |
| Sep 19, 2010 at 13:43 | comment | added | Suho Oh | Thank you for the answer. 1. I need a bit of help with the answer for the second question: "The triangulated surface in $\mathbb{R}^3$ with one boundary component which is not a disc". Since the complexes I'm looking at are compact, I guess this would look something like a two-dimensional doghnut in $\mathbb{R}^3$. Then doesn't the boundary consist of the inner/outer circles and is not connected? 2. I want to try to modify the second question to make it work, so I hope you won't mind me not accepting the answer yet. | |
| Sep 19, 2010 at 7:17 | history | answered | Bruno Martelli | CC BY-SA 2.5 |