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:
“If, then, this civilization is to be saved, if it is not to be submerged by centuries of barbarism, but to secure the treasures of its inheritance on new and more stable foundations, there is indeed need for those now living fully to realize how far the decay has already progressed.”
—Johan Huizinga (1872–1945)
“Literature is a defense against the attacks of life. It says to life: “You can’t deceive me. I know your habits, foresee and enjoy watching all your reactions, and steal your secret by involving you in cunning obstructions that halt your normal flow.””
—Cesare Pavese (1908–1950)
“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)