Exercise 54.1

Question

What goes wrong with the ``path-lifting lemma'' (Lemma $54.1$) for the local homeomorphism of Example $2$ of $\S53$?

Amit Awasthi · Accepted Answer

\begin{proof}[Solution]
  Since $b_0=(1,0)$ cannot be covered by an open set that is evenly covered by $p$ by Example 53.2, we see that the first step in the proof of Lemma 54.1 fails.
\end{proof}

Exercise 54.1

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Exercise 54.1

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