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locally homogeneous space

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  • Homogeneous space — In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group G is a non empty manifold or topological space X on which G acts continuously by symmetry in a transitive way. A… …   Wikipedia

  • Principal homogeneous space — In mathematics, a principal homogeneous space, or torsor, for a group G is a set X on which G acts freely and transitively. That is, X is a homogeneous space for G such that the stabilizer of any point is trivial. An analogous definition holds in …   Wikipedia

  • Locally convex topological vector space — In functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector spaces (TVS) which generalize normed spaces. They can be defined as topological vector… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

  • space-time — /spays tuym /, n. 1. Also called space time continuum. the four dimensional continuum, having three spatial coordinates and one temporal coordinate, in which all physical quantities may be located. 2. the physical reality that exists within this… …   Universalium

  • Symmetric space — In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains an inversion symmetry about every point. There are two ways to make this precise. In Riemannian… …   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

  • Minkowski space — A diagram of Minkowski space, showing only two of the three spacelike dimensions. For spacetime graphics, see Minkowski diagram. In physics and mathematics, Minkowski space or Minkowski spacetime (named after the mathematician Hermann Minkowski)… …   Wikipedia

  • Metric expansion of space — Physical cosmology Universe · Big Bang …   Wikipedia

  • Lp space — In mathematics, the Lp spaces are function spaces defined using a natural generalization of the p norm for finite dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford Schwartz 1958, III.3),… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

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