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local-global theorem

См. также в других словарях:

  • Global dimension — In ring theory and homological algebra, the global dimension (or global homological dimension; sometimes just called homological dimension) of a ring A denoted gl dim A , is a non negative integer or infinity which is a homological invariant of… …   Wikipedia

  • Local field — In mathematics, a local field is a special type of field that is a locally compact topological field with respect to a non discrete topology.[1] Given such a field, an absolute value can be defined on it. There are two basic types of local field …   Wikipedia

  • Local analysis — In mathematics, the term local analysis has at least two meanings both derived from the idea of looking at a problem relative to each prime number p first, and then later trying to integrate the information gained at each prime into a global… …   Wikipedia

  • Local zeta-function — In number theory, a local zeta function is a generating function : Z ( t ) for the number of solutions of a set of equations defined over a finite field F , in extension fields Fk of F . FormulationThe analogy with the Riemann zeta function… …   Wikipedia

  • Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) …   Wikipedia

  • Hasse norm theorem — In number theory, the Hasse norm theorem states that if L/K is a cyclic extension of number fields, then if a nonzero element of K is a local norm everywhere, then it is a global norm.Here to be a global norm means to be an element k of K such… …   Wikipedia

  • Nash embedding theorem — The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance,… …   Wikipedia

  • Hasse–Minkowski theorem — In mathematics, the Hasse–Minkowski theorem states that a quadratic form is isotropic globally if and only if it is everywhere isotropic locally; it is the classic local global principle. Here to be isotropic means to that there is some non zero… …   Wikipedia

  • Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… …   Wikipedia

  • Hilbert's theorem (differential geometry) — In differential geometry, Hilbert s theorem (1901) states that there exists no complete regular surface S of constant negative Gaussian curvature K immersed in mathbb{R}^{3}. This theorem answers the question for the negative case of which… …   Wikipedia

  • Weinberg-Witten theorem — Steven Weinberg and Edward Witten consider the so called emergent theories to be misguided. During the 80 s, preon theories, technicolor and the like were very popular and some people were speculating that gravity might be an emergent phenomena… …   Wikipedia

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