relative codimension

relative codimension
мат. относительная коразмерность

Большой англо-русский и русско-английский словарь. 2001.

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  • Codimension — In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, and also to submanifolds in manifolds, and suitable subsets of algebraic varieties. The dual concept is relative dimension. Contents 1 Definition 2… …   Wikipedia

  • Relative dimension — In mathematics, specifically linear algebra and geometry, relative dimension is the dual notion to codimension.In linear algebra, given a quotient map V o Q, the difference dim V − dim Q is the relative dimension; this equals the dimension of the …   Wikipedia

  • Classification of manifolds — In mathematics, specifically geometry and topology, the classification of manifolds is a basic question, about which much is known, and many open questions remain. Contents 1 Main themes 1.1 Overview 1.2 Different categories and additional… …   Wikipedia

  • Chow ring — In algebraic geometry, the Chow ring (named after W. L. Chow) of an algebraic variety is an algebraic geometric analogue of the cohomology ring of the variety considered as a topological space: its elements are formed out of actual subvarieties… …   Wikipedia

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  • SYSTÈMES DYNAMIQUES DIFFÉRENTIABLES — Sans doute née avec le mémoire que Poincaré écrivit en 1881 «sur les courbes définies par des équations différentielles», où l’étude quantitative (analytique) locale des équations différentielles dans le champ complexe est remplacée par leur… …   Encyclopédie Universelle

  • Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… …   Wikipedia

  • Algebraic cycle — In mathematics, an algebraic cycle on an algebraic variety V is, roughly speaking, a homology class on V that is represented by a linear combination of subvarieties of V . Therefore the algebraic cycles on V are the part of the algebraic topology …   Wikipedia

  • Arakelov theory — (or Arakelov geometry) is an approach to diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. BackgroundArakelov geometry studies a scheme X over the ring of integers Z, by putting… …   Wikipedia

  • TOPOLOGIE - Topologie algébrique — Inventée au début du XXe siècle pour résoudre des problèmes géométriques, la topologie algébrique connut un grand développement grâce à l’introduction de constructions algébriques de plus en plus abstraites. Pour clarifier l’exposé, on a… …   Encyclopédie Universelle

  • Prehomogeneous vector space — In mathematics, a prehomogeneous vector space (PVS) is a finite dimensional vector space V together with a subgroup G of GL( V ) such that G has an open dense orbit in V . Prehomogeneous vector spaces were introduced by Mikio Sato in 1970 and… …   Wikipedia


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