-
universal constructions, the
pushout, if it exists, is
unique up to a
unique isomorphism. Here are some
examples of
pushouts in
familiar categories. Note...
- school, is
considered a
school dropout. In
typical use, the
category of
pushouts excludes students who have been
formally expelled from
school for violating...
-
generalizes constructions such as
disjoint unions,
direct sums, coproducts,
pushouts and
direct limits.
Limits and colimits, like the
strongly related notions...
- Y is an open embedding. The
attaching construction is an
example of a
pushout in the
category of
topological spaces. That is to say, the
adjunction space...
-
homotopy pushouts, such as the
mapping cylinder used to
define a cofibration. This
notion is
motivated by the
following observation: the (ordinary)
pushout D...
- pullback. C has all pullbacks, it has
pushouts along monomorphisms, and the
latter are also (bicategorical)
pushouts in the
bicategory of
spans in C. If...
-
Doolittle diagram) is a
diagram that is
simultaneously a
pullback square and a
pushout square. It is a self-dual concept. Adámek, Jiří, Herrlich, Horst, & Strecker...
- in some
cases finite pushouts; they both are
constructed by
gluing affine schemes. For
affine schemes,
fiber products and
pushouts correspond to tensor...
- }X_{\alpha })\cong \prod _{\alpha }F(X_{\alpha }),} The
functor F maps
homotopy pushouts in Hotc to weak pullbacks. This is
often stated as a Mayer–Vietoris axiom:...
-
generalization of
mathematical products Fibre product or
pullback Coproduct or
pushout Wick
product of
random variables Graph product Product (Brand X album)...
