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Suppose p : E → B {\displaystyle p:E\to B} is a covering map. For n ≥ 2 {\displaystyle n\geq 2} , the induced homomorphisms on the higher Homotopy group (?)s π n ( p ) : π n ( E ) → π n ( B ) {\displaystyle \pi _{n}(p):\pi _{n}(E)\to \pi _{n}(B)} are isomorphisms.
