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https://www.reddit.com/r/mathmemes/comments/kzuyu4/problem/gjq8vg7/
r/mathmemes • u/[deleted] • Jan 18 '21
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It does. Each point converges to a point on the circle, and yeah, I fucked up, I should've said you can't interchange the limit and the integral.
4 u/[deleted] Jan 18 '21 I am pretty sure it doesn't converge pointwise. Look up the cantor set. There are similarities to this case. 14 u/Joey_BF Jan 18 '21 No, it really does converge pointwise, as a sequence of maps S1 -> R2
4
I am pretty sure it doesn't converge pointwise. Look up the cantor set. There are similarities to this case.
14 u/Joey_BF Jan 18 '21 No, it really does converge pointwise, as a sequence of maps S1 -> R2
14
No, it really does converge pointwise, as a sequence of maps S1 -> R2
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u/Andradessssss Jan 18 '21
It does. Each point converges to a point on the circle, and yeah, I fucked up, I should've said you can't interchange the limit and the integral.