- exotic sphere
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A manifold (of any dimension) homeomorphic to a sphere but not diffeomorphic to the standard sphere.
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exotic sphere
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Exotic sphere — In differential topology, a mathematical discipline, an exotic sphere is a differentiable manifold M that is homeomorphic but not diffeomorphic to the standard Euclidean n sphere. That is, M is a sphere from the point of view of all its… … Wikipedia
Exotic — can mean:*In mathematics: **Exotic R4 differentiable manifold homeomorphic but not diffeomorphic to the Euclidean space R4 **Exotic sphere differentiable manifold homeomorphic but not diffeomorphic to the ordinary sphere*In physics: **Exotic atom … Wikipedia
Sphère exotique — En mathématiques, et plus précisément en topologie différentielle, une sphère exotique est une variété différentielle M qui est homéomorphe, mais non difféomorphe, à la n sphère euclidienne standard. Autrement dit, M est une sphère du point de… … Wikipédia en Français
Exotic R4 — In mathematics, an exotic R4 is a differentiable manifold that is homeomorphic to the Euclidean space R4, but not diffeomorphic. The first examples were found by Robion Kirby and Michael Freedman, by using the contrast between Freedman s theorems … Wikipedia
Sphere theorem — This article is about sphere theorem for Riemannian manifolds. For a different result by the same name, see Sphere theorem (3 manifolds). In Riemannian geometry, the sphere theorem, also known as the quarter pinched sphere theorem, strongly… … Wikipedia
n-sphere — 2 sphere wireframe as an orthogonal projection Just as a … Wikipedia
John Milnor — For those of a similar name, see John Milner (disambiguation). John Willard Milnor Born February 20, 1931 ( … Wikipedia
Generalized Poincaré conjecture — In the mathematical area of topology, the term Generalized Poincaré conjecture refers to a statement that a manifold which is a homotopy sphere is a sphere. More precisely, one fixes a category of manifolds: topological (Top), differentiable… … Wikipedia
Differential structure — In mathematics, an n dimensional differential structure (or differentiable structure) on a set M makes M into an n dimensional differential manifold, which is a topological manifold with some additional structure that allows us to do differential … Wikipedia
List of manifolds — This is a list of particular manifolds, by Wikipedia page. See also list of geometric topology topics. For categorical listings see and its subcategories.Generic families of manifolds*Euclidean space, R n * n sphere, S n * n torus, T n *Real… … Wikipedia
