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, the abstract notion of a limit captures the essential properties of universal constructions such as products...

In category theory, a branch of mathematics, a diagram is the categorical analogue of an indexed family in set theory. The primary difference is that in...

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...

Look up cone or coning in Wiktionary, the free dictionary. A cone is a basic geometrical shape. Cone may also refer to: Cone (category theory) Cone (formal...

In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit...

a glossary of properties and concepts in category theory in mathematics. (see also Outline of category theory.) Notes on foundations: In many expositions...

replaces the cone construction. Another alternative built is the theory of stable ∞-categories. The homotopy category of a stable ∞-category is canonically...

mapping cone is a construction on a map of chain complexes inspired by the analogous construction in topology. In the theory of triangulated categories it...

In the mathematical theory of categories, a sketch is a category D, together with a set of cones intended to be limits and a set of cocones intended to...

into 5 distinct categories: Events on the future light cone of E. Events on the past light cone of E. Events inside the future light cone of E are those...

This is a timeline of category theory and related mathematics. Its scope ("related mathematics") is taken as: Categories of abstract algebraic structures...

derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of...

the derived category of mixed motives and the proof of the Milnor and Bloch-Kato conjectures. A1 homotopy theory is founded on a category called the A1...

using the techniques of category theory is known as categorical topology. N.B. Some authors use the name Top for the categories with topological manifolds...

three types of cones predicted by the trichromatic theory and process them at a more complex level. Most humans have three different cone cells in their...

In category theory, a branch of mathematics, an initial object of a category C is an object I in C such that for every object X in C, there exists precisely...

Championship in a match refereed by Cone. They won their match against The Bar, making Nicholas the youngest champion in any category in WWE history, but they relinquished...

discipline of category theory, the Freyd cover or scone category is a construction that yields a set-like construction out of a given category. The only requirement...

viewed as a pairing between submanifolds of a given manifold. From a category theory viewpoint, duality can also be seen as a functor, at least in the realm...

based on retinal cone adaptation. According to Land's Retinex theory, color in a natural scene depends upon the three sets of cone cells ("red," "green...

The theory of relativity usually encompasses two interrelated physics theories by Albert Einstein: special relativity and general relativity, proposed...

Universal cover Monodromy Homotopy lifting property Mapping cylinder Mapping cone (topology) Wedge sum Smash product Adjunction space Cohomotopy Cohomotopy...

between orders become functors between categories. Many ideas of order theory are just concepts of category theory in small. For example, an infimum is...

functor. Diagram (category theory) Cone (category theory) Diagonal morphism Awodey, Steve (2006). "Functors and Naturality". Category Theory. pp. 125–158....

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

explained using automata theory in biology include mollusk and pine cone growth and pigmentation patterns. Going further, a theory suggesting that the whole...

light cone. This is the vacuum sector. More recently, the approach has been further implemented to include an algebraic version of quantum field theory in...

Simplicial set Fox derivative Mapping cone (homological algebra) Prym variety Todd class Adjunction (field theory) Vaughan Jones construction Strähle construction...

In mathematics, a comma category (a special case being a slice category) is a construction in category theory. It provides another way of looking at morphisms:...