As for Herr Rott, he flunked the computation. It's actually $\pi_1(X) = \mathbb Z \times (\mathbb Z \ast\mathbb Z)$. Tsk, tsk, tsk. Go back to the corner.
Exactly. The circle in the middle links the two outside, so that its meridian commutes with the two nearby ones. If the circles were completely apart, you'd get what you wrote. But they aren't, so things partially commute. Hah! Where's my Perrier Jouet?
Of course, I'm talking about the complement of those circles -- that's where that beautiful girl extends her curves, after all. The circles themselves are not interesting -- they are not even connected. So in that case, \pi_1 can only be computed for each component individually, in which case you get a stupid \Z for each one -- still not waht you said, by a mile.
I suggest, stop diggin', Herr Rott, and poney up, by adding 3 VCPs to the tab. The tab, you know.
10 comments:
No, she has a thing for peasants who carried arms for Lord Marlborough. Lucky me.
Your chain of logic eludes me.
AA needs some codfish to fire up his logic.
As for Herr Rott, he flunked the computation. It's actually $\pi_1(X) = \mathbb Z \times (\mathbb Z \ast\mathbb Z)$. Tsk, tsk, tsk. Go back to the corner.
Exactly. The circle in the middle links the two outside, so that its meridian commutes with the two nearby ones. If the circles were completely apart, you'd get what you wrote. But they aren't, so things partially commute. Hah! Where's my Perrier Jouet?
It's in your dreams! The goddam $S^1$s are linked, not glued!
Powww! There's no basepoint!
You owe me, you schmuck!!!
Of course, I'm talking about the complement of those circles -- that's where that beautiful girl extends her curves, after all. The circles themselves are not interesting -- they are not even connected. So in that case, \pi_1 can only be computed for each component individually, in which case you get a stupid \Z for each one -- still not waht you said, by a mile.
I suggest, stop diggin', Herr Rott, and poney up, by adding 3 VCPs to the tab. The tab, you know.
You should've written $X^c$. Pay up.
X always denote the complement in such a situation. Trust me.
Trust me. I'm a doctor.
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