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How would you show that $\pi_n, n>1$ of the Klein bottle is the trivial group?

I was thinking Seifert-Van Kampen could be applicable?

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    Please, try to make the title of your question more informative. E.g., *Why does $a imply $a+c?* is much more useful for other users than *A question about inequality.* From [How can I ask a good question?](http://meta.math.stackexchange.com/a/589/): *Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader.*2012-11-15
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    Seifert-van Kampen doesn't say anything about the higher homotopy groups.2015-11-29

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