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pure projective

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  • Pure subgroup — In mathematics, especially in the area of algebra studying the theory of abelian groups, a pure subgroup is a generalization of direct summand. It has found many uses in abelian group theory and related areas.DefinitionA subgroup S of a… …   Wikipedia

  • Projective unitary group — In mathematics, the projective unitary group PU( n ) is the quotient of the unitary group U( n ) by the right multiplication of its center, U(1), embedded as scalars.Abstractly, it is the isometry group of complex projective space, just as the… …   Wikipedia

  • Pure mathematics — Broadly speaking, pure mathematics is mathematics motivated entirely for reasons other than application. It is distinguished by its rigour, abstraction and beauty. From the eighteenth century onwards, this was a recognized category of… …   Wikipedia

  • Pure spinor — In a field of mathematics known as representation theory pure spinors are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra. They were introduced by Elie Cartan in …   Wikipedia

  • Pure submodule — In mathematics, especially in the field of module theory, the concept of pure submodule provides a generalization of direct summand, a type of particularly well behaved piece of a module. Pure modules are complementary to flat modules and… …   Wikipedia

  • Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a …   Wikipedia

  • Geometrie projective — Géométrie projective La géométrie projective est le domaine des mathématiques qui modélise les notions intuitives de perspective et d horizon. Elle étudie les propriétés des figures inchangées par projection. Sommaire 1 Considérations historiques …   Wikipédia en Français

  • Géométrie Projective — La géométrie projective est le domaine des mathématiques qui modélise les notions intuitives de perspective et d horizon. Elle étudie les propriétés des figures inchangées par projection. Sommaire 1 Considérations historiques 2 Aperçu élémentaire …   Wikipédia en Français

  • Géométrie projective — En mathématiques, la géométrie projective est le domaine de la géométrie qui modélise les notions intuitives de perspective et d horizon. Elle étudie les propriétés inchangées des figures par projection. Sommaire 1 Considérations historiques 2… …   Wikipédia en Français

  • Fake projective plane — For Freedman s example of a non smoothable manifold with the same homotopy type as the complex projective plane, see 4 manifold. In mathematics, a fake projective plane (or Mumford surface) is one of the 50 complex algebraic surfaces that have… …   Wikipedia

  • Géométrie pure — Géométrie synthétique La géométrie synthétique ou géométrie pure[1] est fondée sur une approche axiomatique (donc, « purement logique ») de la géométrie. Elle constitue une branche de la géométrie étudiant diverses propriétés et divers… …   Wikipédia en Français

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