topological sphere

  • 1Topological string theory — In theoretical physics, topological string theory is a simplified version of string theory. The operators in topological string theory represent the algebra of operators in the full string theory that preserve a certain amount of supersymmetry.… …

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  • 2Topological quantum number — In physics, a topological quantum number is any quantity, in a physical theory, that takes on only one of a discrete set of values, due to topological considerations. Most commonly, topological quantum numbers are topological invariants… …

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  • 3Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …

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  • 4Topological graph theory — In mathematics topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, and graphs as topological spaces. [J.L. Gross and T.W. Tucker, Topological graph theory, Wiley Interscience, 1987] Embedding a… …

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  • 5Sphère 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… …

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  • 6Sphere 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… …

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  • 7Topological K-theory — In mathematics, topological K theory is a branch of algebraic topology. It was founded to study vector bundles on general topological spaces, by means of ideas now recognised as (general) K theory that were introduced by Alexander Grothendieck.… …

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  • 8Riemann sphere — The Riemann sphere can be visualized as the complex number plane wrapped around a sphere (by some form of stereographic projection – details are given below). In mathematics, the Riemann sphere (or extended complex plane), named after the 19th… …

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  • 93-sphere — Stereographic projection of the hypersphere s parallels (red), meridians (blue) and hypermeridians (green). Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles …

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  • 10Exotic 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… …

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