During the proof of Theorem 4.23, Hatcher uses Lemma 4.10 to take simplices $\Delta _\alpha ^{m+1}$ and $\Delta ^{n+1}$, but I can't see how did he use the lemma. How did he take the simplices?
Thanks in advance
2026-04-01 02:54:08.1775012048
Proof explanation in Theorem 4.23, Hatcher's Algebraic Topology
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