In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite...

morphism Dual (category theory) Groupoid Image (category theory) Coimage Commutative diagram Cartesian morphism Slice category Isomorphism of categories Natural...

In category theory, a branch of mathematics, the opposite category or dual category C op {\displaystyle C^{\text{op}}} of a given category C {\displaystyle...

Autonomous category Convex body and polar body. Dual abelian variety Dual basis Dual (category theory) Dual code Duality (electrical engineering) Duality (optimization)...

categories. Examples include quotient spaces, direct products, completion, and duality. Many areas of computer science also rely on category theory,...

category theory, a branch of mathematics, a monad is a triple ( T , η , μ ) {\displaystyle (T,\eta ,\mu )} consisting of a functor T from a category to...

order theory, every partially ordered set P gives rise to a dual (or opposite) partially ordered set which is often denoted by Pop or Pd. This dual order...

In category theory, a branch of abstract mathematics, an equivalence of categories is a relation between two categories that establishes that these categories...

the theory of categories concerns itself with the categories of being: the highest genera or kinds of entities. To investigate the categories of being...

In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the...

In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is...

mirror one another Dual (category theory), a formalization of mathematical duality see more cases in Category:Duality theories Dual number, a number system...

In category theory, a branch of mathematics, a section is a right inverse of some morphism. Dually, a retraction is a left inverse of some morphism. In...

In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products...

In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic...

In psychology, a dual process theory provides an account of how thought can arise in two different ways, or as a result of two different processes. Often...

object. A simple example is the category of sets, whose objects are sets and whose arrows are functions. Category theory is a branch of mathematics that...

In category theory and its applications to other branches of mathematics, kernels are a generalization of the kernels of group homomorphisms, the kernels...

In category theory, a branch of mathematics, the cone of a functor is an abstract notion used to define the limit of that functor. Cones make other appearances...

In category theory, a branch of mathematics, a monoid (or monoid object, or internal monoid, or algebra) (M, μ, η) in a monoidal category (C, ⊗, I) is...

Look up duality in Wiktionary, the free dictionary. Duality may refer to: Duality (mathematics), a mathematical concept Dual (category theory), a formalization...

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 category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas...

decades in string theory was the discovery of certain 'dualities', mathematical transformations that identify one physical theory with another. Physicists...

In category theory, a branch of mathematics, a dual object is an analogue of a dual vector space from linear algebra for objects in arbitrary monoidal...

general is in category theory. The algebraic objects to which representation theory applies can be viewed as particular kinds of categories, and the representations...

Groot dual Dual abelian variety Dual basis in a field extension Dual bundle Dual curve Dual (category theory) Dual graph Dual group Dual object Dual pair...

In mathematics, duality theory for distributive lattices provides three different (but closely related) representations of bounded distributive lattices...

theory. The name is taken from Tadao Tannaka and Tannaka–Krein duality, a theory about compact groups G and their representation theory. The theory was...

In category theory, a branch of mathematics, a natural transformation provides a way of transforming one functor into another while respecting the internal...