Category articles on Wikipedia
Equivalence of categories Category (mathematics) Abelian category Category of abelian groups Category of small categories Category of sets Category (topology)
Dec 4th 2016

Category (mathematics)
In mathematics, a category is an algebraic structure that comprises "objects" that are linked by "arrows". A category has two basic properties: the ability
Dec 28th 2016

Category theory
Category theory formalizes mathematical structure and its concepts in terms of a collection of objects and of arrows (also called morphisms). A category
Apr 23rd 2017

Category of small categories
specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms
May 1st 2017

Category of sets
In the mathematical field of category theory, the category of sets, denoted as Set, is the category whose objects are sets. The arrows or morphisms between
May 1st 2017

Pregnancy category
The pregnancy category of a medication is an assessment of the risk of fetal injury due to the pharmaceutical, if it is used as directed by the mother
Apr 23rd 2017

In mathematics, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category, Boardman complex, quategory)
Feb 3rd 2017

Category management
about category management in a retail context. For category management in a purchasing context, see Category management (purchasing). Category management
Dec 3rd 2016

Higher category theory
In mathematics, higher category theory is the part of category theory at a higher order, which means that some equalities are replaced by explicit arrows
Mar 24th 2017

Enriched category
In category theory, a branch of mathematics, an enriched category generalizes the idea of a category by replacing hom-sets with objects from a general
Dec 26th 2016

Monoidal category
confused with inner product. In mathematics, a monoidal category (or tensor category) is a category C equipped with a bifunctor ⊗ : C × CC that is associative
Mar 21st 2017

Category of modules
In algebra, given a ring R, the category of left modules over R is the category whose objects are all left modules over R and whose morphisms are all
May 1st 2017

Comma category
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:
May 13th 2017

Category of rings
categories in mathematics, the category of rings is large, meaning that the class of all rings is proper. The category Ring is a concrete category meaning
May 1st 2017

including Infinity category Segal category Simplicially enriched category Topological category Complete Segal space model category Workshop of homotopy
Jan 2nd 2016

Model category
In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ('arrows') called 'weak equivalences'
Apr 3rd 2017

Category of being
different kinds or ways of being are called categories of being or simply categories. To investigate the categories of being is to determine the most fundamental
Apr 11th 2017

Homotopy category
In mathematics, the homotopy category is a category built from the category of topological spaces which in a sense identifies two spaces that have the
May 1st 2017

Preadditive category
in category theory, a preadditive category is a category that is enriched over the monoidal category of abelian groups. In other words, the category C
Jan 9th 2017

Category A services
A Category A service is a Canadian specialty television channel which, as defined by the Canadian Radio-television and Telecommunications Commission, must
May 16th 2017

Syntactic category
A syntactic category is a type of syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e
Dec 21st 2014

Abelian category
In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable
Feb 22nd 2017

Complete category
In mathematics, a complete category is a category in which all small limits exist. That is, a category C is complete if every diagram F : JC where
May 1st 2016

Category 6 cable
CategoryCategory 6 cable, commonly referred to as Cat 6, is a standardized twisted pair cable for Ethernet and other network physical layers that is backward compatible
May 12th 2017

Category B services
A Category B service (formerly Category 2 prior to September 1, 2011) is a Canadian specialty television channel which, as defined by the Canadian Radio-television
Apr 15th 2017

In category theory, a 2-category is a category with "morphisms between morphisms"; that is, where each hom-set itself carries the structure of a category
Jun 28th 2016

Fibred category
Fibred categories (or fibered categories) are abstract entities in mathematics used to provide a general framework for descent theory. They formalise
Jan 21st 2017

IUCN protected area categories
IUCN protected area categories, or IUCN protected area management categories, are categories used to classify protected areas in a system developed by
Oct 2nd 2016

Dagger category
In mathematics, a dagger category (also called involutive category or category with involution ) is a category equipped with a certain structure called
Apr 20th 2017

Grammatical category
A grammatical category is a property of items within the grammar of a language; it has a number of possible values (sometimes called grammemes), which
Nov 1st 2016

Category mistake
A category mistake, or category error, or categorical mistake, or mistake of category, is a semantic or ontological error in which things belonging to
May 10th 2017

Dual (category theory)
Duality (mathematics). In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties
Jul 22nd 2016

Triangulated category
derived category of an abelian category and the stable homotopy category of spectra (more generally, the homotopy category of a stable ∞-category), both
Mar 17th 2017

Prisoner security categories in the United Kingdom
Prisoner security categories in the United Kingdom are one of four classifications assigned to every adult prisoner for the purposes of assigning them
Apr 3rd 2017

Concrete category
In mathematics, a concrete category is a category that is equipped with a faithful functor to the category of sets. This functor makes it possible to
Mar 8th 2016

List of Category 5 Atlantic hurricanes
The list of Category 5 Atlantic hurricanes encompasses 31 tropical cyclones that reached Category 5 strength on the SaffirSimpson hurricane wind scale
May 17th 2017

Closed monoidal category
In mathematics, especially in category theory, a closed monoidal category (also called a monoidal closed category) is a context where it is possible both
Dec 13th 2016

Category utility
Category utility is a measure of "category goodness" defined in Gluck & Corter (1985) and Corter & Gluck (1992). It attempts to maximize both the probability
Sep 26th 2016

Cartesian closed category
In category theory, a category is considered Cartesian closed if, roughly speaking, any morphism defined on a product of two objects can be naturally
Dec 28th 2016

Cyclic category
In mathematics, the cyclic category or cycle category or category of cycles is a category of finite cyclically ordered sets and degree-1 maps between them
May 1st 2017

List of Category 5 Pacific hurricanes
Category 5 hurricanes are tropical cyclones that reach Category 5 intensity on the Saffir-Simpson Hurricane Scale. They are by definition the strongest
May 17th 2017

Category 4
Category 4 may refer to: Category 4 cable, a cable that consists of four unshielded twisted-pair wires Category 4 fireworks, British fireworks that are
May 6th 2016

Functor category
In category theory, a branch of mathematics, the functors between two given categories form a category, where the objects are the functors and the morphisms
May 1st 2017

Symmetric monoidal category
In category theory, a branch of mathematics, a symmetric monoidal category is a monoidal category (i.e. a category in which a "tensor product"
Dec 29th 2016

Outline of category theory
Category of sets – Concrete category – Category of vector spaces – Category of graded vector spaces – Category of chain complexes – Category of finite
Oct 11th 2016

Category (Kant)
a category (German: Categorie in the original or Kategorie in modern German) is a pure concept of the understanding (Verstand). A Kantian category is
Apr 27th 2017

Diagram (category theory)
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
Mar 22nd 2016

Stable ∞-category
In category theory, a branch of mathematics, a stable ∞-category is an ∞-category such that (i) It has a zero object. (ii) Every morphism in it admits
Jan 26th 2016

Product (category theory)
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
May 9th 2017

Kernel (category theory)
In category theory and its applications to other branches of mathematics, kernels are a generalization of the kernels of group homomorphisms, the kernels
Jan 29th 2017

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