Let $p:E \rightarrow B$ be a covering space, $E$ and $B$ are path-connected. Let $A$ be a path-connected subset of $B$ . How to use fundamental group to give a sufficient and necessary condition to make $p^{-1}(A)$ be path-connected?
2026-03-30 23:20:28.1774912828
Fundamental group and path-connected
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