extension theorem

extension theorem
мат. теорема о продолжении

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

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  • Hartogs' extension theorem — In mathematics, precisely in the theory of functions of several complex variables, Hartogs extension theorem is a statement about the singularities of holomorphic functions of several variables. Informally, it states that the support of the… …   Wikipedia

  • Carathéodory's extension theorem — See also Carathéodory s theorem for other meanings. In measure theory, Carathéodory s extension theorem proves that for a given set Ω, you can always extend a sigma; finite measure defined on R to the sigma; algebra generated by R , where R is a… …   Wikipedia

  • Tietze extension theorem — In topology, the Tietze extension theorem states that, if X is a normal topological space and is a continuous map from a closed subset A of X into the real numbers carrying the standard topology, then there exists a continuous map with F(a) =… …   Wikipedia

  • Isomorphism extension theorem — In field theory, a branch of mathematics, the isomorphism extension theorem is an important theorem regarding the extension of a field isomorphism to a larger field. Isomorphism extension theorem The theorem states that given any field F, an… …   Wikipedia

  • Whitney extension theorem — In mathematics, in particular in mathematical analysis, the Whitney extension theorem is a partial converse to Taylor s theorem. Roughly speaking, the theorem asserts that if A is a closed subset of a Euclidean space, then it is possible to… …   Wikipedia

  • M. Riesz extension theorem — The M. Riesz extension theorem is a theorem in mathematics, proved by Marcel Riesz during his study of the problem of moments.FormulationLet E be a real vector space, F subset E be a vector subspace, and let K subset E be a convex cone.Then, a… …   Wikipedia

  • Kolmogorov extension theorem — In mathematics, the Kolmogorov extension theorem (also known as Kolmogorov existence theorem) is a theorem that guarantees that a suitably consistent collection of finite dimensional distributions will define a stochastic process. It is credited… …   Wikipedia

  • Extension (mathematics) — In mathematics, the word extension has many uses. See:Analysis* Carathéodory s extension theorem * Continuous linear extension * M. Riesz extension theorem * Krein extension theorem * Hahn Banach theoremAlgebra* Abelian extension * Algebraic… …   Wikipedia

  • Extension und Intension — sind moderne semantische Ausdrücke, insbesondere der Logik, Sprachphilosophie und Linguistik, die den Umfang beziehungsweise Inhalt von Zeichen oder sprachlicher Ausdrücke bedeuten. Sie werden vornehmlich statt der traditionellen Ausdrücke… …   Deutsch Wikipedia

  • Extension de Galois — En mathématiques, une extension de Galois (parfois nommée extension galoisienne) est une extension de corps finie normale séparable. L ensemble des automorphismes de l extension possède une structure de groupe appelé groupe de Galois. Cette… …   Wikipédia en Français

  • Hahn–Banach theorem — In mathematics, the Hahn–Banach theorem is a central tool in functional analysis. It allows the extension of bounded linear operators defined on a subspace of some vector space to the whole space, and it also shows that there are enough… …   Wikipedia


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