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CATEGORY

  • Category
  • Topics referred to by the same term

    classes/categories Category of being Categories (Aristotle) Categoriae Decem Category (Kant) Categories (Peirce) Category (Vaisheshika) Stoic categories Category

    Category

    Category

  • Category theory
  • General theory of mathematical structures

    Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the

    Category theory

    Category theory

    Category_theory

  • Saffir–Simpson scale
  • Tropical cyclone intensity scale

    the intensities of tropical depressions and tropical storms—into five categories distinguished by the intensities of their sustained winds. This measuring

    Saffir–Simpson scale

    Saffir–Simpson_scale

  • Category mistake
  • Ascribing an impossible property to a thing

    A category mistake (or category error, categorical mistake, or mistake of category) is a semantic or ontological error in which things belonging to a particular

    Category mistake

    Category_mistake

  • Category (mathematics)
  • Mathematical object that generalizes the standard notions of sets and functions

    In mathematics, a category (sometimes called an abstract category to distinguish it from a concrete category) is a collection of "objects" that are linked

    Category (mathematics)

    Category (mathematics)

    Category_(mathematics)

  • Category of small categories
  • Category whose objects are small categories and whose morphisms are functors

    specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms

    Category of small categories

    Category_of_small_categories

  • Category A
  • Topics referred to by the same term

    Category A may refer to: Category A Listed building (Scotland) Category A Prison (UK) Category A Bioterrorism agent Category A services (Canada) A category

    Category A

    Category_A

  • Syntactic category
  • Word classes, largely corresponding to traditional parts of speech

    A syntactic category is a syntactic unit that theories of syntax assume. Word classes, largely corresponding to traditional parts of speech (e.g. noun

    Syntactic category

    Syntactic_category

  • Listed building
  • Protected historic structure in the United Kingdom

    around 8 per cent (some 3,800) are Category A, 60 per cent are Category B, and 32 per cent are listed at Category C. St Peter's Seminary, Cardross Palace

    Listed building

    Listed building

    Listed_building

  • Accessible category
  • The theory of accessible categories is a part of mathematics, specifically of category theory. It attempts to describe categories in terms of the "size"

    Accessible category

    Accessible_category

  • Monad (category theory)
  • Operation in algebra and mathematics

    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

    Monad (category theory)

    Monad_(category_theory)

  • Prisoner security categories in the United Kingdom
  • Classification system for prisoners

    United Kingdom, prisoners are divided into four categories of security. Each adult is assigned to a category according to their crime, sentence, the risk

    Prisoner security categories in the United Kingdom

    Prisoner_security_categories_in_the_United_Kingdom

  • Category 6 cable
  • Standardized data communications cable

    Category 6 cable (Cat 6) is a standardized twisted pair cable for Ethernet and other network physical layers that is backward compatible with the Category 5/5e

    Category 6 cable

    Category 6 cable

    Category_6_cable

  • Pregnancy category
  • Risk of fetal injury due to the use of a pharmaceutical

    The pregnancy category is an assessment of the risk of fetal injury due to a medication, if it is used as directed by the mother during pregnancy. It does

    Pregnancy category

    Pregnancy_category

  • Rigid category
  • In category theory, a branch of mathematics, a rigid category is a monoidal category where every object is rigid, that is, has a dual X* (the internal

    Rigid category

    Rigid_category

  • Category 5
  • Topics referred to by the same term

    Category 5 may refer to: Category 5 (album), an album from rock band, FireHouse Category 5 cable, used for carrying data Category 5 computer virus, as

    Category 5

    Category_5

  • Topological category (enriched category theory)
  • Categorical treatment of topological spaces

    In category theory, a discipline in mathematics, a topological category is a category that is enriched over the category of compactly generated Hausdorff

    Topological category (enriched category theory)

    Topological_category_(enriched_category_theory)

  • Presheaf (category theory)
  • Contravariant functor to Set

    In category theory, a branch of mathematics, a presheaf on a category C {\displaystyle C} is a functor F : C o p → S e t {\displaystyle F\colon C^{\mathrm

    Presheaf (category theory)

    Presheaf_(category_theory)

  • Generator (category theory)
  • In mathematics, more specifically category theory. A generator (otherwise known as a seperator), or generating family (resp. separating family) is a collection

    Generator (category theory)

    Generator_(category_theory)

  • Category 3
  • Topics referred to by the same term

    Category 3 or Category III can refer to: Category 3 cable, a specification for data cabling British firework classification Category 3 tropical cyclone

    Category 3

    Category_3

  • Transport category
  • Transport category is a classification group of aircraft for the purpose of airworthiness certification. The name "transport category" is used in the

    Transport category

    Transport_category

  • Homotopy category of an ∞-category
  • In mathematics, especially category theory, the homotopy category of an ∞-category C is the category where the objects are those in C but the hom-set

    Homotopy category of an ∞-category

    Homotopy_category_of_an_∞-category

  • Security categories in India
  • Levels of security details provided to individuals in India

    local government. Depending on the threat perception to the person, the category is divided into six tiers: SPG, Z+ (highest level), Z, Y+, Y and X. Individuals

    Security categories in India

    Security_categories_in_India

  • Category 5 cable
  • Unshielded twisted pair communications cable

    Category 5 cable (Cat 5) is a twisted pair cable for computer networks. Since 2001, the variant commonly in use is the Category 5e specification (Cat 5e)

    Category 5 cable

    Category 5 cable

    Category_5_cable

  • Tensor category
  • Topics referred to by the same term

    Tensor category (within the subfield category theory of mathematics) may refer to: General monoidal categories; or More specifically symmetric monoidal

    Tensor category

    Tensor_category

  • Aircraft category
  • Method of classifying aircraft

    An aircraft category is defined by the International Civil Aviation Organization as a "classification of aircraft according to specified basic characteristics"

    Aircraft category

    Aircraft_category

  • Categories (Aristotle)
  • Text from Aristotle's Organon

    The Categories (Ancient Greek: Κατηγορίαι, romanized: Katēgoriai; Latin: Categoriae or Praedicamenta) is a text from Aristotle's Organon that enumerates

    Categories (Aristotle)

    Categories_(Aristotle)

  • Category 6
  • Topics referred to by the same term

    Category 6 or Category VI may refer to: Category 6: Day of Destruction, a 2004 made-for-TV movie Category 6 cable, a type of cable used for computer networking

    Category 6

    Category_6

  • Normal morphism
  • Type of morphism

    well-behaved type of morphism. A normal category is a category in which every monomorphism is normal. A conormal category is one in which every epimorphism

    Normal morphism

    Normal_morphism

  • List of Category 5 Atlantic hurricanes
  • A Category 5 Atlantic hurricane is a tropical cyclone that reaches Category 5 intensity on the Saffir–Simpson hurricane wind scale, within the Atlantic

    List of Category 5 Atlantic hurricanes

    List of Category 5 Atlantic hurricanes

    List_of_Category_5_Atlantic_hurricanes

  • Vehicle category
  • Classification of a land vehicle for regulatory purposes

    A vehicle category classifies a land vehicle or trailer for regulatory purposes. United Nations Economic Commission for Europe Information from Consolidated

    Vehicle category

    Vehicle_category

  • Filtered category
  • In category theory, filtered categories generalize the notion of directed set understood as a category (hence called a directed category; while some use

    Filtered category

    Filtered_category

  • Category 2
  • Topics referred to by the same term

    Category 2 or Category II may refer to: Category 2 cable, a grade of unshielded twisted pair cabling Category 2 tropical cyclone, on any of the Tropical

    Category 2

    Category_2

  • Homotopy category
  • Concept in math

    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

    Homotopy category

    Homotopy_category

  • IUCN protected area categories
  • International classification for protected areas

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

    IUCN protected area categories

    IUCN_protected_area_categories

  • Taxonomy (biology)
  • Science of classifying organisms

    of relatives ("taxa") and their arrangement in a hierarchy of higher categories. This activity is what the term classification denotes; it is also referred

    Taxonomy (biology)

    Taxonomy_(biology)

  • Aircraft approach category
  • Grouping used for air traffic control

    An aircraft approach category is a grouping which differentiates aircraft based on the speed at which the aircraft approaches a runway for landing. They

    Aircraft approach category

    Aircraft_approach_category

  • Basic category
  • In cognitive psychology, a basic category is a category at a particular level of the category inclusion hierarchy (i.e., a particular level of generality)

    Basic category

    Basic_category

  • Category Is
  • 12th episode of the 9th season of RuPaul's Drag Race

    "Category Is" is the eleventh episode of the ninth season of the American television series RuPaul's Drag Race. It originally aired on June 9, 2017. The

    Category Is

    Category_Is

  • Lusternik–Schnirelmann category
  • Aspect of algebraic topology

    In mathematics, the Lyusternik–Schnirelmann category (or, Lusternik–Schnirelmann category, LS-category) of a topological space X {\displaystyle X} is the

    Lusternik–Schnirelmann category

    Lusternik–Schnirelmann_category

  • UEFA stadium categories
  • Categories of requirements for football stadiums set by UEFA

    UEFA stadium categories are categories for football stadiums laid out in UEFA's Stadium Infrastructure Regulations. Using these regulations, stadiums

    UEFA stadium categories

    UEFA stadium categories

    UEFA_stadium_categories

  • Higher category theory
  • Generalization of 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

    Higher category theory

    Higher_category_theory

  • Exact category
  • In mathematics, specifically in category theory, an exact category is a category equipped with short exact sequences. The concept is due to Daniel Quillen

    Exact category

    Exact_category

  • Category B
  • Topics referred to by the same term

    Category B may refer to: Category B Listed building (Scotland) Category B Prison (UK) Category B Bioterrorism agent Category B services (Canadian television)

    Category B

    Category_B

  • Merchant category code
  • Four-digit number listed for retail financial services

    A merchant category code (MCC) is a four-digit number used for retail financial services to classify a business by the types of goods or services it provides

    Merchant category code

    Merchant_category_code

  • Quasi-category
  • Generalization of a category

    specifically category theory, a quasi-category (also called quasicategory, weak Kan complex, inner Kan complex, infinity category, ∞-category, Boardman complex

    Quasi-category

    Quasi-category

  • Baire category theorem
  • On topological spaces where the intersection of countably many dense open sets is dense

    The Baire category theorem (BCT) is an important result in general topology and functional analysis. The theorem has two forms, each of which gives sufficient

    Baire category theorem

    Baire_category_theorem

  • Core of a category
  • In mathematics, especially category theory, the core of a category C is the category whose objects are the objects of C and whose morphisms are the invertible

    Core of a category

    Core_of_a_category

  • ISO/IEC 11801
  • International standard for electrical and optical cables

    100 kHz using Category 1 cable and connectors Class B: Up to 1 MHz using Category 2 cable and connectors Class C: Up to 16 MHz using Category 3 cable and

    ISO/IEC 11801

    ISO/IEC_11801

  • Ribbon category
  • mathematics, a ribbon category, also called a tortile category, is a particular type of braided monoidal category. A monoidal category C {\displaystyle {\mathcal

    Ribbon category

    Ribbon_category

  • Abelian category
  • Category with direct sums and certain types of kernels and cokernels

    prototypical example of an abelian category is the category of abelian groups, Ab. Abelian categories are very stable categories; for example they are regular

    Abelian category

    Abelian_category

  • Section (category theory)
  • Right inverse of a morphism

    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

    Section (category theory)

    Section (category theory)

    Section_(category_theory)

  • Category C
  • Topics referred to by the same term

    Category C may refer to: Category C Listed building (Scotland) Category C Prison (UK) Category C Bioterrorism agent Pregnancy Category C Category C services

    Category C

    Category_C

  • Dustbin category
  • The term "dustbin category" is sometimes used to describe a category that includes people or things that might be heterogeneous, only loosely related or

    Dustbin category

    Dustbin_category

  • Nominal category
  • Concept in statistics

    In statistics, a nominal category (also nominal variable or nominal group) is a collection of objects or ideas grouped according to a particular qualitative

    Nominal category

    Nominal category

    Nominal_category

  • Category 4
  • Topics referred to by the same term

    Category 4 or Category IV may refer to: Category 4 cable, a cable that consists of four unshielded twisted-pair wires Category 4 fireworks, British fireworks

    Category 4

    Category_4

  • Category algebra
  • In category theory, a field of mathematics, a category algebra is an associative algebra, defined for any locally finite category and commutative ring

    Category algebra

    Category_algebra

  • Symplectic category
  • In mathematics, Weinstein's symplectic category is (roughly) a category whose objects are symplectic manifolds and whose morphisms are canonical relations

    Symplectic category

    Symplectic_category

  • 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

    Stable ∞-category

    Stable_∞-category

  • Simplicial category
  • Topics referred to by the same term

    simplicial category may refer to: Simplex category, the category of finite ordinals and order-preserving functions Simplicially enriched category, a category enriched

    Simplicial category

    Simplicial_category

  • Derived category
  • Homological construction

    In mathematics, the derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense

    Derived category

    Derived_category

  • John C. Baez
  • American mathematical physicist (b. 1961)

    foams in loop quantum gravity, applications of higher categories to physics, and applied category theory. Additionally, Baez is known on the World Wide

    John C. Baez

    John C. Baez

    John_C._Baez

  • Category F
  • Topics referred to by the same term

    Category F can refer to: Category F railway stations (DfT) Category F necrophilia, known as catathymic Category F attack aircraft (US) Category F, for

    Category F

    Category_F

  • UEFA elite referee category
  • Highest classification for UEFA football referees

    The UEFA elite referee category is the highest classification for football referees appointed by the Union of European Football Associations (UEFA), typically

    UEFA elite referee category

    UEFA elite referee category

    UEFA_elite_referee_category

  • Category D
  • Topics referred to by the same term

    Category D can refer to: Category D pregnancy - Positive evidence of risk Category D Prison Category D, for an International Driving Permit Category D

    Category D

    Category_D

  • Category 1
  • Topics referred to by the same term

    Category 1 or Category One may refer to: Category 1 cable, an electrical standard for communications wiring Category 1 tropical cyclone, on any of the

    Category 1

    Category_1

  • Category Woman
  • 2022 Canadian film

    Category: Woman is a Canadian documentary film, directed by Phyllis Ellis and released in 2022. The film centres on the cases of Dutee Chand, Evangeline

    Category Woman

    Category_Woman

  • Category 2 cable
  • Unshielded twisted pair cabling for telephone and data communications

    Category 2 cable, also known as Cat 2, is a grade of unshielded twisted pair cabling designed for telephone and data communications. The maximum frequency

    Category 2 cable

    Category_2_cable

  • List of Hong Kong Category III films
  • The following is a non-exhaustive list of Category III films produced in Hong Kong. According to the Hong Kong motion picture rating system introduced

    List of Hong Kong Category III films

    List_of_Hong_Kong_Category_III_films

  • Grammatical category
  • Property of items within the grammar of a language

    linguistics, a grammatical category or grammatical feature is a property of items within the grammar of a language. Within each category there are two or more

    Grammatical category

    Grammatical_category

  • Quiver (mathematics)
  • Directed graph which is also a multigraph

    That is, there is a forgetful functor from Cat (the category of small categories) to Quiv (the category of multidigraphs). Its left adjoint is a free functor

    Quiver (mathematics)

    Quiver_(mathematics)

  • List of longest-running television shows by category
  • Audiovisual broadcasts by duration and content

    This lists the longest-running television shows by category. The criterion for the longest-running show is the number of years the show has been on the

    List of longest-running television shows by category

    List_of_longest-running_television_shows_by_category

  • IUCN category
  • Topics referred to by the same term

    IUCN category, where "IUCN" refers to the International Union for Conservation of Nature, may refer to: IUCN protected area categories used to classify

    IUCN category

    IUCN_category

  • Category O
  • representation theory of semisimple Lie algebras, Category O (or category O {\displaystyle {\mathcal {O}}} ) is a category whose objects are certain representations

    Category O

    Category_O

  • Category I
  • Topics referred to by the same term

    Category I can refer to: Category I New Testament manuscripts - Alexandrian Category-I Miniratna public sector undertakings (India) Category I measurement

    Category I

    Category_I

  • Nerve (category theory)
  • Simplicial set constructed from the objects and morphisms of a small category

    In category theory, a discipline within mathematics, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms

    Nerve (category theory)

    Nerve_(category_theory)

  • Krull–Schmidt category
  • In category theory, a branch of mathematics, a Krull–Schmidt category is a generalization of categories in which the Krull–Schmidt theorem holds. They

    Krull–Schmidt category

    Krull–Schmidt_category

  • Posetal category
  • %5B%5BWikipedia%3ARedirects+for+discussion%5D%5D+debate+closed+as+delete #REDIRECT Thin category

    Posetal category

    Posetal_category

  • Elementary theory of the category of sets
  • Set of axioms for set theory

    In mathematics, the elementary theory of the category of sets or ETCS is a set of axioms for set theory proposed by William Lawvere in 1964. Although it

    Elementary theory of the category of sets

    Elementary_theory_of_the_category_of_sets

  • Special Category Status
  • Categorisation of prisoners

    government's Secretary of State for Northern Ireland, granted Special Category Status (SCS) to all prisoners serving sentences in Northern Ireland for

    Special Category Status

    Special_Category_Status

  • FinVect
  • Category of finite-dimension vector spaces

    In the mathematical field of category theory, FinVect (or FdVect) is the category whose objects are all finite-dimensional vector spaces and whose morphisms

    FinVect

    FinVect

  • Discretionary service
  • Canadian classification for cable TV channels

    television providers. It replaces the previous category A, category B, category C (instead split into the categories of "mainstream sports" and "national news")

    Discretionary service

    Discretionary_service

  • Twitch (service)
  • American live-streaming platform

    Yale graduates, the site was divided into several content categories. The gaming category grew especially fast, and became the most popular content on

    Twitch (service)

    Twitch (service)

    Twitch_(service)

  • Fibred category
  • Concept in category theory

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

    Fibred category

    Fibred_category

  • Sex position
  • Position of the body used for sexual activities

    involve non-penetrative sexual activities. Three broad and overlapping categories of sexual activity are commonly practiced: vaginal sex, anal sex, and

    Sex position

    Sex position

    Sex_position

  • Reedy category
  • Type of category in mathematics

    especially category theory, a Reedy category is a category R that has a structure so that the functor category from R to a model category M would also

    Reedy category

    Reedy_category

  • Systolic category
  • The systole (or systolic category) is a numerical invariant of a closed manifold M, introduced by Mikhail Katz and Yuli Rudyak in 2006, by analogy with

    Systolic category

    Systolic_category

  • Category 4 cable
  • Twisted pair cable for networks

    Category 4 cable (Cat 4) is a cable that consists of eight copper wires arranged in four unshielded twisted pairs (UTP) supporting signals up to 20 MHz

    Category 4 cable

    Category_4_cable

  • Tallest structures by category
  • GPX (secondary coordinates) These are the world's tallest structures by category. This article requires the structure to be "topped out". * "Mixed-use"

    Tallest structures by category

    Tallest structures by category

    Tallest_structures_by_category

  • Theory of categories
  • In ontology, the highest kinds or genera of entities

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

    Theory of categories

    Theory_of_categories

  • Academy Award for Best Picture
  • Annual award by the Academy of Motion Picture Arts and Sciences

    the only category in which every member of the Academy is eligible to submit a nomination and vote on the final ballot. The Best Picture category is traditionally

    Academy Award for Best Picture

    Academy Award for Best Picture

    Academy_Award_for_Best_Picture

  • Category 1 cable
  • Type of twisted-pair cable

    Category 1 cable, also known as Cat 1, Level 1, or voice-grade copper, is a grade of unshielded twisted pair cabling designed for telephone communications

    Category 1 cable

    Category_1_cable

  • Stoicism
  • Ancient philosophy

    universal red body had entered the object. They held that there were four categories: Substance (ὑποκείμενον): The primary matter, formless substance, (ousia)

    Stoicism

    Stoicism

    Stoicism

  • Simplex category
  • Category of non-empty finite ordinals and order-preserving maps

    In mathematics, the simplex category (or simplicial category or nonempty finite ordinal category) is the category of non-empty finite ordinals and order-preserving

    Simplex category

    Simplex_category

  • Outline of category theory
  • Overview of and topical guide to category theory

    category theory Category of sets Concrete category Category of small categories Category of vector spaces Category of graded vector spaces Category of

    Outline of category theory

    Outline_of_category_theory

  • Topological category
  • Topics referred to by the same term

    mathematics, topological category may refer to: A concept in categorical topology; see topological functor A category enriched over the category of topological

    Topological category

    Topological_category

  • British Academy Film Awards
  • Annual awards for cinematic achievements

    British Writer, Producer or Director. Only UK films are eligible for the categories of The British Short Film and British Short Animation awards. During each

    British Academy Film Awards

    British Academy Film Awards

    British_Academy_Film_Awards

  • Completions in category theory
  • In category theory, a branch of mathematics, there are several ways (completions) to enlarge a given category in a way somehow analogous to a completion

    Completions in category theory

    Completions_in_category_theory

  • Empty category
  • Linguistics concept

    In linguistics, an empty category, which may also be referred to as a covert category, is an element in the study of syntax that does not have any phonological

    Empty category

    Empty category

    Empty_category

  • 3-category
  • especially in category theory, a 3-category is a 2-category together with 3-morphisms. It comes in at least three flavors a strict 3-category, a semi-strict

    3-category

    3-category

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  • Denomination
  • n.

    That by which anything is denominated or styled; an epithet; a name, designation, or title; especially, a general name indicating a class of like individuals; a category; as, the denomination of units, or of thousands, or of fourths, or of shillings, or of tons.

  • Categorist
  • n.

    One who inserts in a category or list; one who classifies.

  • Categorize
  • v. t.

    To insert in a category or list; to class; to catalogue.

  • Categories
  • pl.

    of Category

  • Category
  • n.

    Class; also, state, condition, or predicament; as, we are both in the same category.

  • Predicament
  • n.

    See Category.

  • Category
  • n.

    One of the highest classes to which the objects of knowledge or thought can be reduced, and by which they can be arranged in a system; an ultimate or undecomposable conception; a predicament.

  • Homocategoric
  • a.

    Belonging to the same category of individuality; -- a morphological term applied to organisms so related.

  • Credit
  • n.

    The side of an account on which are entered all items reckoned as values received from the party or the category named at the head of the account; also, any one, or the sum, of these items; -- the opposite of debit; as, this sum is carried to one's credit, and that to his debit; A has several credits on the books of B.

  • Categorical
  • a.

    Of or pertaining to a category.