Question: Suppose that the compact submanifold X in Y intersects another submanifold Z, but dim X + dim Z < dim Y. Prove that X may

Suppose that the compact submanifold X in Y intersects another submanifold Z, but dim X + dim Z < dim Y. Prove that X may be pulled away from Z by an arbitrarily small deformation, i.e. given e > 0 there exists a deformation Xt = it(X) such that X1 does not intersect Z and |x - i1(x)| < e for all x in X

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