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Subcategory information


In mathematics, specifically category theory, a subcategory of a category C is a category S whose objects are objects in C and whose morphisms are morphisms in C with the same identities and composition of morphisms. Intuitively, a subcategory of C is a category obtained from C by "removing" some of its objects and arrows.

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Subcategory

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In mathematics, specifically category theory, a subcategory of a category C is a category S whose objects are objects in C and whose morphisms are morphisms...

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Reflective subcategory

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In mathematics, a full subcategory A of a category B is said to be reflective in B when the inclusion functor from A to B has a left adjoint.: 91  This...

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Giraud subcategory

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In mathematics, Giraud subcategories form an important class of subcategories of Grothendieck categories. They are named after Jean Giraud. Let A {\displaystyle...

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Localizing subcategory

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localizing subcategories form important classes of subcategories of an abelian category. Localizing subcategories are certain Serre subcategories. They are...

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Abelian category

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Gabriel used the term thick subcategory to describe what we here call a Serre subcategory. C is a topologizing subcategory if it is closed under subquotients...

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Semiorthogonal decomposition

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{A}}_{1},\ldots ,{\mathcal {A}}_{n}} of strictly full triangulated subcategories such that: for all 1 ≤ i < j ≤ n {\displaystyle 1\leq i<j\leq n} and...

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IUCN Red List

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list has only a single "Lower Risk" category which contained three subcategories: Conservation Dependent (LR/cd) Near Threatened (LR/nt) Least Concern...

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France

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post facto laws are prohibited). While administrative law is often a subcategory of civil law in many countries, it is completely separated in France...

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List of science fiction themes

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The following is a list of articles about recurring themes in science fiction. First contact with aliens Artificial intelligence Machine rule/Cybernetic...

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List of missiles

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a list of missiles, sorted alphabetically into large categories and subcategories by name and purpose. Types of missiles: Conventional guided missiles...

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Carnivore

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A carnivore /ˈkɑːrnɪvɔːr/, or meat-eater (Latin, caro, genitive carnis, meaning meat or "flesh" and vorare meaning "to devour"), is an animal or plant...

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Outline of science fiction

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The following outline is provided as an overview of and topical guide to science fiction: Science fiction – a genre of fiction dealing with the impact...

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Voice type

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eighth term, treble, is applied. Within each of these major categories, subcategories identify specific vocal qualities such as coloratura facility and vocal...

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Plucked string instrument

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Plucked string instruments are a subcategory of string instruments that are played by plucking the strings. Plucking is a way of pulling and releasing...

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Category of rings

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The category of rings has a number of important subcategories. These include the full subcategories of commutative rings, integral domains, principal...

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Vorarephilia

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gruesome depiction of digestion. Aside from oral vore, there are plenty of subcategories, some of which are: Anal vore depicts the victim being ingested through...

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NIST Cybersecurity Framework

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defines a number of subcategories of cybersecurity outcomes and security controls, with 108 subcategories in all. For each subcategory, it also provides...

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Topos

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that Cop embeds in SetC as a full subcategory. In the graph example the embedding represents Cop as the subcategory of SetC whose two objects are V' as...

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VFS

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the advancement of vertical flight Vertical formation skydiving, is a subcategory of formation skydiving using high-speed body positions normally associated...

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Polyamory

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pride flag in Malmö, Sweden, August 2017 Parent category Non-monogamy Subcategories Polyfidelity Other terms Associated terms Relationship anarchy ethical...

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Economically Weaker Section

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Economically Weaker Section (EWS) in India is a subcategory of people having an annual family income less than ₹8 lakh (US$9,600) and who do not belong...

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Open water swimming

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Open water swimming is a swimming discipline which takes place in outdoor bodies of water such as open oceans, lakes, and rivers. Competitive open water...

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National Register of Historic Places property types

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not fit into these five broad categories or fit into more specialized subcategories. The five general categories for NRHP properties are: building, district...

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GHS hazard pictograms

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wider variety of colors and may contain additional information such as a subcategory number. Hazard pictograms are one of the key elements for the labelling...

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