-
terminal object and
pullbacks (by the fact that
binary product =
pullback on the
terminal object, and that an
equalizer is a
pullback involving binary product)...
-
Pullbacks can be
applied to many
other objects such as
differential forms and
their cohomology classes; see
Pullback (differential geometry)
Pullback...
- 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...
- 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...
-
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:...
-
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 ′...
-
Cartesian closed. If C has
pullbacks and for
every arrow p : X → Y, the
functor p* : C/Y → C/X
given by
taking pullbacks has a
right adjoint, then C...
- 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...
