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graph of manifold

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  • Manifold System — is a geographic information system (GIS) software package developed by manifold.net that runs only on Microsoft Windows. Manifold System handles both vector and raster data, includes spatial SQL, a built in Internet Map Server (IMS), and other… …   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

  • Graph embedding — In topological graph theory, an embedding of a graph G on a surface Sigma; is a representation of G on Sigma; in which points of Sigma; are associated to vertices and simple arcs (homeomorphic images of [0,1] ) are associated to edges in such a… …   Wikipedia

  • Symplectic manifold — In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2 form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology.… …   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

  • 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

  • Parallelizable manifold — In mathematics, a parallelizable manifold M is a smooth manifold of dimension n having vector fields: V 1, ..., V n , such that at any point P of M the tangent vectors: V i , P provide a basis of the tangent space at P . Equivalently, the tangent …   Wikipedia

  • Reeb graph — In Morse theory, a branch of mathematics, a Reeb graph of a scalar function describes the connectivity of its level sets.[1]Reeb graphs are named after Georges Reeb. If the function is defined over a vector space rather than over a more general… …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …   Wikipedia

  • Digital divide — Graph of internet users per 100 inhabitants between 1997 and 2007 by International Telecommunication Union …   Wikipedia

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