Definition of Subcategory. Meaning of Subcategory. Synonyms of Subcategory

Here you will find one or more explanations in English for the word Subcategory. Also in the bottom left of the page several parts of wikipedia pages related to the word Subcategory and, of course, Subcategory synonyms and on the right images related to the word Subcategory.

Definition of Subcategory

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Meaning of Subcategory from wikipedia

- 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 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...
- In mathematics, Giraud subcategories form an important class of subcategories of Grothendieck categories. They are named after Jean Giraud. Let A {\displaystyle...
- localizing subcategories form important classes of subcategories of an abelian category. Localizing subcategories are certain Serre subcategories. They are...
- 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...
- In category theory, a branch of mathematics, a subcategory A {\displaystyle {\mathcal {A}}} of a category B {\displaystyle {\mathcal {B}}} is said to...
- Categories & Criteria (version 3.1). Before 2001 "least concern" was a subcategory of the "Lower Risk" category and ****igned the code "LR/lc" or lc. Around...
- list has only a single "Lower Risk" category which contained three subcategories: Conservation Dependent (LR/cd) Near Threatened (LR/nt) Least Concern...
- In mathematics, a skeleton of a category is a subcategory that, roughly speaking, does not contain any extraneous isomorphisms. In a certain sense, the...
- {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...