- 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...
- 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:...
- 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...
- categories. A
morphism is a
monomorphism if it is
idempotent with
respect to
pullbacks. The
categorical dual of a
monomorphism is an epimorphism, that is, a...
- {\displaystyle f\colon X\to Y} . We will call the
result the
inverse image or
pullback sheaf f − 1 G {\displaystyle f^{-1}{\mathcal {G}}} . If we try to imitate...
-
forms along with the
exterior derivative defined on it is
preserved by the
pullback under smooth functions between two manifolds. This
feature allows geometrically...
- {\displaystyle P=X+_{Z}Y} . The
pushout is the
categorical dual of the
pullback. Explicitly, the
pushout of the
morphisms f and g
consists of an object...
