Timeline for Intuition behind the following theorem of Reeb?
Current License: CC BY-SA 3.0
7 events
when toggle format | what | by | license | comment | |
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S Aug 23, 2015 at 16:13 | history | suggested | Ali Taghavi | CC BY-SA 3.0 |
I add a few words
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Aug 23, 2015 at 15:44 | review | Suggested edits | |||
S Aug 23, 2015 at 16:13 | |||||
Aug 12, 2015 at 16:53 | comment | added | Dan Ramras | This question may be helpful: math.stackexchange.com/questions/1270099/… | |
Aug 12, 2015 at 1:13 | comment | added | Amitesh Datta | A Morse function on a smooth manifold $M$ gives rise to a handlebody decomposition of $M$, with an $i$-handle for each index $i$ critical point. In the case of Reeb's theorem, there is one index $0$ critical point (minimum) and one index $n$ critical point (maximum), and so $M$ is obtained by attaching an $n$-handle to a $0$-handle, i.e., gluing two $n$-balls by identifying their boundary $\mathbb{S}^{n-1}$'s. However, this is simply $\mathbb{S}^n$ (Alexander's trick). | |
Aug 12, 2015 at 0:30 | comment | added | José Figueroa-O'Farrill | en.wikipedia.org/wiki/Morse_theory | |
Aug 12, 2015 at 0:28 | review | First posts | |||
Aug 12, 2015 at 3:11 | |||||
Aug 12, 2015 at 0:24 | history | asked | user78069 | CC BY-SA 3.0 |