Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms). A category has two basic properties: the ability to compose the arrows associatively, and the existence of an identity arrow for each object. The language of category theory has been used to formalize concepts of other high-level abstractions such as sets, rings, and groups. Informally, category theory is a general theory of functions.
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01220th century in scienceAbelian categoryAbstract algebraAbstract nonsenseAbstraction (mathematics)Abuse of notationAccessible categoryAdditionAdditive categoryAdjoint functorsAlexander GrothendieckAlgebraAlgebra (disambiguation)Algebraic geometryAlgebraic groupAlgebraic structureAlgebraic topologyAllegory (mathematics)Amnestic functorAnalogyAnamorphismAndré JoyalAndrée EhresmannAnticipatory SystemsAntiisomorphismApplicative functorApplied category theoryApplyArrow (computer science)Arrow (disambiguation)AssociatorAsymptotic equipartition propertyAugust 1909AutomorphismAutomorphism groupAxiom of choiceBand (algebra)
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Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms). A category has two basic properties: the ability to compose the arrows associatively, and the existence of an identity arrow for each object. The language of category theory has been used to formalize concepts of other high-level abstractions such as sets, rings, and groups. Informally, category theory is a general theory of functions.
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Category theory formalizes mat ...... nd other proposed foundations.
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De categorietheorie is een abs ...... sen verzamelingen te bekijken.
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Die Kategorientheorie oder die ...... als auch zwischen Kategorien.
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Kategoriteori är en gren av de ...... digtvis tolkas som funktioner.
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La teoria de categories és una ...... ó amb la topologia algebraica.
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La teoria delle categorie è un ...... e ne conservano le operazioni.
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La teoría de categorías es un ...... tos, pertenencia, entre otras.
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La théorie des catégories étud ...... rment une notion unificatrice.
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Na matemática, a teoria das ca ...... rata e topologia, por exemplo.
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Teori kategori berhubungan den ...... annya dengan topologi aljabar.
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title
Category theory
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The catsters
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TheCatsters
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Category theory formalizes mat ...... a general theory of functions.
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De categorietheorie is een abs ...... ismen wordt categorie genoemd.
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Die Kategorientheorie oder die ...... eiden ursprünglich eingeführt.
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Kategoriteori är en gren av de ...... vetenskap och teoretisk fysik.
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La teoria de categories és una ...... ó amb la topologia algebraica.
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La teoria delle categorie è un ...... e ne conservano le operazioni.
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La teoría de categorías es un ...... tos, pertenencia, entre otras.
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La théorie des catégories étud ...... rment une notion unificatrice.
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Na matemática, a teoria das ca ...... s como "natural" e "canônico".
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Teori kategori berhubungan den ...... annya dengan topologi aljabar.
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Categorietheorie (wiskunde)
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Category theory
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Kategorientheorie
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Kategoriteori
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Teori kategori
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Teoria das categorias
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Teoria de categories
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Teoria delle categorie
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Teoria kategorii
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Teorie kategorií
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