- In
category theory, the
coproduct, or
categorical sum, is a
construction which includes as
examples the
disjoint union of sets and of
topological spaces...
-
category theory, a
branch of mathematics, a
pushout (also
called a
fibered coproduct or
fibered sum or
cocartesian square or
amalgamated sum) is the colimit...
- (also
called the
direct sum, free union, free sum,
topological sum, or
coproduct) of a
family of
topological spaces is a
space formed by
equipping the...
- zero objects, is both a
product and a
coproduct. In a
preadditive category the
notions of
product and
coproduct coincide for
finite collections of objects...
-
disjoint sets is
their union. In
category theory, the
disjoint union is the
coproduct of the
category of sets, and thus
defined up to a bijection. In this context...
- a
generalization of
mathematical products Fibre product or
pullback Coproduct or
pushout Wick
product of
random variables Graph product Product (Brand...
- (and for
representation theory in general), the
coproduct must be linear. As a
general rule, the
coproduct in
representation theory is reducible; the factors...
- the
coproduct in the
category of the
mathematical objects in question. For example, in the
category of
abelian groups, the
direct sum is a
coproduct. That...
-
monoidal unit. Dually, a
monoidal finite coproduct category with the
monoidal structure given by the
coproduct and unit the
initial object is
called a...
-
produced naturally on a
large scale in volcanoes. It is
manufactured as a
coproduct in the
production of
phosphate fertilizers. The
resulting hexafluorosilicic...
