Stable Normal Bundle
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In surgery theory, a branch of mathematics, the stable normal bundle of a differentiable manifold is an invariant which encodes the stable normal (dually, tangential) data. There are analogs for generalizations of manifold, notably PL-manifolds and topological manifolds. There is also an analogue in homotopy theory for Poincaré spaces, the Spivak spherical fibration, named after Michael Spivak (reference below).Given an embedding of a manifold in Euclidean space (pro...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In surgery theory, a branch of mathematics, the stable normal bundle of a differentiable manifold is an invariant which encodes the stable normal (dually, tangential) data. There are analogs for generalizations of manifold, notably PL-manifolds and topological manifolds. There is also an analogue in homotopy theory for Poincaré spaces, the Spivak spherical fibration, named after Michael Spivak (reference below).Given an embedding of a manifold in Euclidean space (provided by the theorem of Whitney), it has a normal bundle. The embedding is not unique, but for high dimension of the Euclidean space it is unique up to isotopy, thus the (class of) the bundle is unique, and called the stable normal bundle.
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