Let $$X=\vee_{\alpha\in A} S_{\alpha}^n$$ be a bouquet of $n$-spheres.

Q: How does one compute the homotopy groups $\pi_k(X)$?

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Let $$X=\vee_{\alpha\in A} S_{\alpha}^n$$ be a bouquet of $n$-spheres. Q: How does one compute the homotopy groups $\pi_k(X)$? |
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universal coverof this space. The universal cover of $S^1 \vee S^2$ is homotopy-equivalent to $\vee_\infty S^2$. – Ryan Budney Mar 14 '12 at 20:53