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pull back of smooth covering space is injective

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0 $begingroup$ I need to prove this but I don't really know where to start: Let $p:Mto N$ be a smooth covering space between smooth manifolds. Show that $p^*:Omega(N)toOmega(M)$ is injective. Where $Omega(M)$ is the space of the differential forms. differential-geometry covering-spaces pullback share | cite | improve this question edited Jan 10 at 17:08 Gianni asked Jan 10 at 16:57 Gianni Gianni 38 7 ...