In differential geometry, in the category of differentiable manifolds, a fibered manifold is a surjective submersion i.e. a surjective differentiable mapping such that at each point the tangent mapping is surjective (equivalently its rank equals dim B).
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“There is then creative reading as well as creative writing. When the mind is braced by labor and invention, the page of whatever book we read becomes luminous with manifold allusion. Every sentence is doubly significant, and the sense of our author is as broad as the world.”
—Ralph Waldo Emerson (1803–1882)