Let $(E, p, B)$ be a covering space with $B$ and $E$ both path-connected. Show that for all $n \geq 2,$ $\pi_{n}(B)$ is isomorphic to $\pi_{n}(E)$. Could anyone give me a hint for the solution please?
2026-03-26 10:59:43.1774522783
Show that $\pi_{n}(B)$ is isomorphic to $\pi_{n}(E)$.
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Hint: Lifting property of covering spaces.