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homeomorphic transformation

См. также в других словарях:

  • homeomorphism — homeomorphic, homeomorphous, adj. /hoh mee euh mawr fiz euhm/, n. 1. similarity in crystalline form but not necessarily in chemical composition. 2. Math. a function between two topological spaces that is continuous, one to one, and onto, and the… …   Universalium

  • Lorentz group — Group theory Group theory …   Wikipedia

  • Covering space — A covering map satisfies the local triviality condition. Intuitively, such maps locally project a stack of pancakes above an open region, U, onto U. In mathematics, more specifically algebraic topology, a covering map is a continuous surjective… …   Wikipedia

  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   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

  • Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

  • Roman surface — The Roman surface (so called because Jakob Steiner was in Rome when he thought of it) is a self intersecting mapping of the real projective plane into three dimensional space, with an unusually high degree of symmetry. The mapping is not an… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… …   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

  • Real projective line — In real analysis, the real projective line (also called the one point compactification of the real line, or the projectively extended real numbers ), is the set mathbb{R}cup{infty}, also denoted by widehat{mathbb{R and by mathbb{R}P^1.The symbol… …   Wikipedia

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