In the Lifting Lemma (Munkres's book, page 388, Lemma 54.1), when $\tilde{f}(s)$ is constructed in each $[s_i,s_{i+1}]$, how are you sure that is well-define in the limit points $s_i,s_{i+1}$, for any $i$?
2026-03-30 00:21:13.1774830073
A detail in the proof of Lifting Lemma
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