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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Famous quotes containing the word manifold:
“Thy love is such I can no way repay,
The heavens reward thee manifold I pray.
Then while we live, in love lets so persever,
That when we live no more, we may live ever.”
—Anne Bradstreet (c. 1612–1672)