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).
Read more about Stable Normal Bundle: Construction Via Embeddings, Construction Via Classifying Spaces, Motivation, Applications
Famous quotes containing the words stable, normal and/or bundle:
“One of the oddest features of western Christianized culture is its ready acceptance of the myth of the stable family and the happy marriage. We have been taught to accept the myth not as an heroic ideal, something good, brave, and nearly impossible to fulfil, but as the very fibre of normal life. Given most families and most marriages, the belief seems admirable but foolhardy.”
—Jonathan Raban (b. 1942)
“Philosophically, incest asks a fundamental question of our shifting mores: not simply what is normal and what is deviant, but whether such a thing as deviance exists at all in human relationships if they seem satisfactory to those who share them.”
—Elizabeth Janeway (b. 1913)
“We styled ourselves the Knights of the Umbrella and the Bundle; for, wherever we went ... the umbrella and the bundle went with us; for we wished to be ready to digress at any moment. We made it our home nowhere in particular, but everywhere where our umbrella and bundle were.”
—Henry David Thoreau (1817–1862)