Timeline for Two-convexity ⇒ Lefschetz?
Current License: CC BY-SA 3.0
14 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| Jan 3, 2014 at 22:06 | comment | added | Anton Petrunin | @WillSawin, I guess your question is about last par, starting with "Let $L_{t_0}$...". We are in hypereplane, i.e., in $\mathbb R^3$. Imagine that your parabolic cylinders have exactly one point of intersection. Then the complement is homotoipically equivalent to $\mathbb{S}^1$. | |
| Jan 3, 2014 at 19:54 | comment | added | Will Sawin | I don't understand the example. I'm visualizing pairs parabolic cylinders in general position and all of them have simply-connected complements. Could you describe a specific hyperplane that does the job? | |
| Dec 30, 2013 at 0:30 | history | edited | Anton Petrunin | CC BY-SA 3.0 |
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| Oct 1, 2012 at 19:32 | comment | added | André Henriques | Here's an article of mine where (a slight variant of) higher convexity is used: staff.science.uu.nl/~henri105/PDF/advgometry.pdf | |
| Feb 23, 2011 at 4:00 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 22, 2011 at 19:18 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 22, 2011 at 18:08 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 22, 2011 at 17:52 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 22, 2011 at 17:44 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 22, 2011 at 14:18 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 18, 2011 at 19:14 | comment | added | Gerald Edgar | For an open set $\Omega$, why is [ if 3 faces of a 3-simplex belong to $\Omega$ then whole simplex in $\Omega$ ] not the same as convex? | |
| Feb 18, 2011 at 17:25 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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| Feb 17, 2011 at 22:12 | history | asked | Anton Petrunin | CC BY-SA 2.5 |