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Let F: M m N n be a smooth submersion (submersion is a differentiable map between differentiable manifolds whose differential is everywhere surjective.) (a) Show
Let F: Mm Nn be a smooth submersion (submersion is a differentiable map between differentiable manifolds whose differential is everywhere surjective.) (a) Show that F is an open map. (b) Let M be compact and N connected. Show that F is surjective. (c) Show, if M compact and N = n that no such submersion can exist.
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