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...
6 KB (798 words) - 21:38, 17 April 2021
In mathematics, Giraud subcategories form an important class of subcategories of Grothendieck categories. They are named after Jean Giraud. Let A {\displaystyle...
2 KB (255 words) - 03:40, 28 August 2023
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...
10 KB (1,260 words) - 02:49, 7 November 2024
localizing subcategories form important classes of subcategories of an abelian category. Localizing subcategories are certain Serre subcategories. They are...
4 KB (516 words) - 14:02, 8 March 2023
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...
19 KB (2,643 words) - 03:45, 26 March 2024
In category theory, a branch of mathematics, a subcategory A {\displaystyle {\mathcal {A}}} of a category B {\displaystyle {\mathcal {B}}} is said to...
1 KB (205 words) - 21:51, 8 October 2024
Categories & Criteria (version 3.1). Before 2001 "least concern" was a subcategory of the "Lower Risk" category and assigned the code "LR/lc" or lc. Around...
3 KB (346 words) - 04:46, 16 October 2024
{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...
15 KB (2,399 words) - 17:17, 4 October 2024
list has only a single "Lower Risk" category which contained three subcategories: Conservation Dependent (LR/cd) Near Threatened (LR/nt) Least Concern...
28 KB (2,513 words) - 11:07, 5 November 2024
post facto laws are prohibited). While administrative law is often a subcategory of civil law in many countries, it is completely separated in France...
272 KB (24,433 words) - 19:39, 9 November 2024