# Definition of Pullback. Meaning of Pullback. Synonyms of Pullback

Here you will find one or more explanations in English for the word Pullback. Also in the bottom left of the page several parts of wikipedia pages related to the word Pullback and, of course, Pullback synonyms and on the right images related to the word Pullback.

## Definition of Pullback

Pullback
Pullback Pull"back`, n. 1. That which holds back, or causes to recede; a drawback; a hindrance. 2. (Arch) The iron hook fixed to a casement to pull it shut, or to hold it party open at a fixed point.

## Meaning of Pullback from wikipedia

- In mathematics, a pullback is either of two different, but related processes: precomposition and fiber-product. Its dual is a pushforward. Precomposition...
- In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit...
- space of 1-forms on M {\displaystyle M} . This linear map is known as the pullback (by ϕ {\displaystyle \phi } ), and is frequently denoted by ϕ ∗ {\displaystyle...
- A pullback motor (also pull back, pull back and go or pull-back) is a simple clockwork motor used in toy cars. A patent for them was granted to Bertrand...
- In mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and...
- given a continuous map f: X → Y of topological spaces and a ring R, the pullback along f on cohomology theory is a grade-preserving R-algebra homomorphism:...
- non-autonomous. This requires one to consider the notion of a pullback attractor or attractor in the pullback sense. Consider a random dynamical system φ {\displaystyle...
- coproduct mapping to A, and a morphism A' → A, the pullback is an I-indexed coproduct of the pullbacks: ( ∐ i ∈ I B i ) × A A ′ ≅ ∐ i ∈ I ( B i × A A ′...
- forms along with the exterior derivative defined on it is preserved by the pullback under smooth functions between two manifolds. This feature allows geometrically...
- A homotopy pullback (or homotopy fiber-product) is the dual concept of a homotopy pushout.It satisfies the universal property of a pullback up to homotopy...