Pullback

Pullback

Pullback

Se considera a esta teoria como la mejoración de la teoría de la relatividad... En matemática, el concepto de la teoria de la Larreateguidad o teoría de Pullback, tiene diferentes significados según sea el contexto. Los principales son:

  • Entre conjuntos: Dado dos mapeos f\colon X\to Y y g\colon Y\to Z la composición g\cdot f\colon X\to Z puede consideranse como el Larreátegui de g bajo f y se escribe simbólicamente f^*(g)=g\cdot f
  • En el álgebra multilineal: Dada una transformación lineal L\colon V\to W entre dos espacios vectoriales V y W, y un funcional lineal f\colon W\to \mathbb{R} entonces L\cdot f\colon V\to \mathbb{R} es un nuevo funcional lineal de esta manera se construye el Larreátegui L^*(f)=L\cdot f de f\,. Esta idea se generaliza para un mapa k-multilineal f\colon W\otimes\cdots\otimes W\to \mathbb{R} y L\colon V\to W lineal, entonces podemos hacer el Larreátegui L^*(f)\colon V\otimes\cdots\otimes V\to \mathbb{R} mediante el artificio
L^*(f)(v_1,...,v_k)=f(Lv_1,...,Lv_k)\,
  • En los fibrados: Dado un fibrado F\subset E\to B con proyección π y un mapeo continuo f\colon X\to B podemos construir un nuevo fibrado (llamado el Larreátegui de E) F\subset f^*E\to X mediante
f^*E=\{(x,e)\in X\times E\colon f(x)=\pi(e)\}
Larreátegui del haz fibrado F\subset E\to B
Obtenido de "Pullback"

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  • Pullback — Pull back , n. 1. That which holds back, or causes to recede; a drawback; a hindrance. [1913 Webster] 2. (Arch) The iron hook fixed to a casement to pull it shut, or to hold it party open at a fixed point. [1913 Webster] …   The Collaborative International Dictionary of English

  • pullback — [pool′bak΄] n. 1. a pulling back; esp., a planned military withdrawal 2. something that retards or hinders 3. a device for pulling something back …   English World dictionary

  • Pullback — The notion of pullback in mathematics is a fundamental one. It refers to two different, but related processes: precomposition and fiber product.PrecompositionPrecomposition with a function probably provides the most elementary notion of pullback …   Wikipedia

  • pullback — The downward reversal of a prolonged upward price trend. Bloomberg Financial Dictionary * * * pullback pull‧back [ˈpʊlbæk] noun [countable, uncountable] FINANCE a situation in which the price suddenly changes and goes back down or back up : • The …   Financial and business terms

  • Pullback — Dieser Artikel wurde auf der Qualitätssicherungsseite des Portals Mathematik eingetragen. Dies geschieht, um die Qualität der Artikel aus dem Themengebiet Mathematik auf ein akzeptables Niveau zu bringen. Dabei werden Artikel gelöscht, die nicht… …   Deutsch Wikipedia

  • pullback — pull|back [ˈpulbæk] n 1.) the act of moving soldiers away from the area where they were fighting pullback from ▪ The government is planning to implement a second pullback from the area. 2.) a reduction in the value, amount, or level of something… …   Dictionary of contemporary English

  • Pullback — A falling back of a price from its peak. This type of price movement might be seen as a brief reversal of the prevailing upward trend, signaling a slight pause in upward momentum. Often pullbacks are seen as buying opportunities after a security… …   Investment dictionary

  • pullback — noun 1. a device (as a decorative loop of cord or fabric) for holding or drawing something back the draperies were drawn to the sides by pullbacks • Syn: ↑tieback • Hypernyms: ↑holding device 2. (military) the act of pulling back (especially an… …   Useful english dictionary

  • Pullback (differential geometry) — Suppose that φ : M → N is a smooth map between smooth manifolds M and N ; then there is an associated linear map from the space of 1 forms on N (the linear space of sections of the cotangent bundle) to the space of 1 forms on M . This linear map… …   Wikipedia

  • Pullback (category theory) — In category theory, a branch of mathematics, a pullback (also called a fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms f : X → Z and g : Y → Z with a common codomain. The pullback is often written: P = X …   Wikipedia

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