singular manifold

См. также в других словарях:

• manifold — I UK [ˈmænɪˌfəʊld] / US [ˈmænɪˌfoʊld] adjective formal of many different kinds II UK [ˈmænɪˌfəʊld] / US [ˈmænɪˌfoʊld] noun [countable] Word forms manifold : singular manifold plural manifolds a pipe through which gases pass into and out of a… …   English dictionary

• Manifold — Man i*fold, a. [AS. manigfeald. See {Many}, and {Fold}.] 1. Various in kind or quality; many in number; numerous; multiplied; complicated. [1913 Webster] O Lord, how manifold are thy works! Ps. civ. 24. [1913 Webster] I know your manifold… …   The Collaborative International Dictionary of English

• Manifold writing — Manifold Man i*fold, a. [AS. manigfeald. See {Many}, and {Fold}.] 1. Various in kind or quality; many in number; numerous; multiplied; complicated. [1913 Webster] O Lord, how manifold are thy works! Ps. civ. 24. [1913 Webster] I know your… …   The Collaborative International Dictionary of English

• Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

• Singular homology — In algebraic topology, a branch of mathematics, singular homology refers to the study of a certain set of topological invariants of a topological space X , the so called homology groups H n(X). Singular homology is a particular example of a… …   Wikipedia

• Singular point of an algebraic variety — In mathematics, a singular point of an algebraic variety V is a point P that is special (so, singular), in the geometric sense that V is not locally flat there. In the case of an algebraic curve, a plane curve that has a double point, such as the …   Wikipedia

• Calabi–Yau manifold — In mathematics, Calabi ndash;Yau manifolds are compact Kähler manifolds whose canonical bundle is trivial. They were named Calabi ndash;Yau spaces by physicists in 1985, [cite journal | author = Candelas, Horowitz, Strominger and Witten | year =… …   Wikipedia

• Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

• Poisson manifold — In mathematics, a Poisson manifold is a differentiable manifold M such that the algebra of smooth functions over M is equipped with a bilinear map called the Poisson bracket, turning it into a Poisson algebra. Since their introduction by André… …   Wikipedia

• CR manifold — In mathematics, a CR manifold is a differentiable manifold together with a geometric structure modeled on that of a real hypersurface in a complex vector space, or more generally modeled on an edge of a wedge. Formally, a CR manifold is a… …   Wikipedia

• Collapsing manifold — For the concept in homotopy, see collapse (topology). In Riemannian geometry, a collapsing or collapsed manifold is an n dimensional manifold M that admits a sequence of Riemannian metrics gn, such that as n goes to infinity the manifold is close …   Wikipedia