- 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...
- 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...
-
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...
-
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...
- 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...
-
morphism A ′ → A {\displaystyle A'\to A} , the
pullback is an I {\displaystyle I} -indexed
coproduct of the
pullbacks: ( ∐ i ∈ I B i ) × A A ′ ≅ ∐ i ∈ I ( B i...
-
pullback square, and the
morphism which goes from the
domain of f × g {\displaystyle f\times g} to the
domain of f is
opposite to g in the
pullback square...
