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We all agree that a manifold is globally non euclidean but locally it is. So we can find near each point a hemeomorphic to an open set of euclidean space of the same dimension as the manifold. This is a general definition for all manifold to follow. Then what is the difference between extrinsic way of constructing a manifold and intrinsic one. I know that the first is related to embedded surface but still i didnt understand. Thank you