I understand the proof of Corollary 2.14 and I know how to show $\tilde H_n(S^n) \cong \mathbb Z$ from the propositions 2.6 and 2.8.
However, I don't see how to get $\tilde H_i(S^n) =0$ for $i \ne n$.
2026-04-01 06:09:06.1775023746
How is $\tilde H_i(S^n) =0$ for $i \ne n$?
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