prime manifold
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Prime — can refer to: * Prime number, an integer greater than 1 which is only divisible by 1 and itself * Prime (symbol), the ′ mark ** 3′ end and 5′ end ( three prime end , five prime end ) in biochemistry * Prime (liturgy), a liturgical office (service … Wikipedia
Prime decomposition (3-manifold) — In mathematics, the prime decomposition theorem for 3 manifolds states that every compact, orientable 3 manifold is the connected sum of a unique (up to homeomorphism) collection of prime 3 manifolds.A manifold is prime if it cannot be presented… … Wikipedia
Manifold decomposition — In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must specify both what those pieces are and how they are put together to form M. Manifold… … Wikipedia
Prime ideal — In mathematics, a prime ideal is a subset of a ring which shares many important properties of a prime number in the ring of integers. This article only covers ideals of ring theory. Prime ideals in order theory are treated in the article on… … Wikipedia
Riemannian manifold — In Riemannian geometry, a Riemannian manifold ( M , g ) (with Riemannian metric g ) is a real differentiable manifold M in which each tangent space is equipped with an inner product g in a manner which varies smoothly from point to point. The… … Wikipedia
Chester Manifold — Member of the Australian Parliament for Corangamite In office 29 March 1901 – 23 November 1903 Preceded by New seat … Wikipedia
Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define … Wikipedia
3-manifold — In mathematics, a 3 manifold is a 3 dimensional manifold. The topological, piecewise linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3… … Wikipedia
Spherical 3-manifold — In mathematics, a spherical 3 manifold M is a 3 manifold of the form M = S3 / Γ where Γ is a finite subgroup of SO(4) acting freely by rotations on the 3 sphere S3. All such manifolds are prime, orientable, and closed. Spherical 3 manifolds are… … Wikipedia
Graph manifold — In topology, a graph manifold (in German: Graphenmannigfaltigkeit) is a 3 manifold which is obtained by gluing some circle bundles. They were invented and classified by the German topologist Friedhelm Waldhausen in 1967. This definition allows a… … Wikipedia
Théorème de décomposition de Milnor — En mathématiques, et plus précisément en géométrie, le théorème de décomposition de Milnor, appelé aussi théorème de décomposition des 3 variétés, ou théorème de Kneser Milnor, affirme que toute variété compacte et orientable de dimension 3 est… … Wikipédia en Français
