In category theory, a strict 2-category is a category with "morphisms between morphisms", that is, where each hom-set itself carries the structure of a...
8 KB (1,107 words) - 19:44, 5 June 2023
category C has finite products, the category of C-enriched categories has finite products too. While this concept is too strict for some purposes in for example...
9 KB (944 words) - 09:25, 24 April 2024
diagram commutes. A strict monoidal category is one for which the natural isomorphisms α, λ and ρ are identities. Every monoidal category is monoidally equivalent...
18 KB (2,431 words) - 16:33, 30 September 2024
Saffir–Simpson scale (redirect from Category 2 hurricane)
location, which means a Category 2 hurricane that hits a major city will likely do far more cumulative damage than a Category 5 hurricane that hits a...
39 KB (3,600 words) - 13:44, 4 October 2024
higher-dimensional categories allow us to profitably generalize this by considering "higher-dimensional processes". For example, a (strict) 2-category is a category together...
34 KB (3,827 words) - 21:32, 2 October 2024
Discretionary service (redirect from Category 2 channels (Canada))
compete with a Category A service. As a consequence, Category A licenses carried more stringent obligations on their owners, such as stricter thresholds for...
19 KB (1,776 words) - 15:36, 1 September 2024
Partially ordered set (redirect from Strict order)
also called strict partial orders. Strict and non-strict partial orders can be put into a one-to-one correspondence, so for every strict partial order...
40 KB (5,391 words) - 07:42, 25 August 2024
ISO/IEC 11801 (redirect from Category 8.2)
F channel and Category 7 cable are backward compatible with Class D/Category 5e and Class E/Category 6. Class F features even stricter specifications...
15 KB (1,690 words) - 19:03, 20 August 2024
Bicategory (redirect from Weak 2-category)
mathematics, a bicategory (or a weak 2-category) is a concept in category theory used to extend the notion of category to handle the cases where the composition...
3 KB (413 words) - 00:00, 17 May 2024
United Nations and the Convention on Biological Diversity. A strict nature reserve (IUCN Category Ia) is an area which is protected from all but light human...
13 KB (1,487 words) - 18:37, 20 August 2024
results show. From series 2 onwards, the show has been broadcast in the run up to Christmas. With its high viewing figures, Strictly Come Dancing has become...
211 KB (10,139 words) - 21:22, 29 September 2024
focuses on strict 2-groups. A strict 2-group is a strict monoidal category in which every morphism is invertible and every object has a strict inverse (so...
10 KB (1,252 words) - 01:34, 8 March 2024
Charles Ehresmann (category Category theorists)
Ehresmann's research interests moved to category theory, where he introduced the concepts of sketch and of strict 2-category. His collected works, edited by his...
19 KB (1,689 words) - 19:19, 8 August 2024
Total order (redirect from Strict total order)
non-strict order. For each (non-strict) total order ≤ {\displaystyle \leq } there is an associated relation < {\displaystyle <} , called the strict total...
21 KB (3,093 words) - 12:07, 5 October 2024
A strict nature reserve (IUCN category Ia) or wilderness area (IUCN category Ib) is the highest category of protected area recognised by the World Commission...
7 KB (722 words) - 11:33, 30 April 2024
Coproduct (redirect from Coproduct (category theory))
products within a given category. Let C {\displaystyle C} be a category and let X 1 {\displaystyle X_{1}} and X 2 {\displaystyle X_{2}} be objects of C ....
12 KB (2,129 words) - 00:42, 19 June 2024
Under Joy's control, Riley inadvertently gets the campers punished by the strict camp director, Coach Roberts. Anxiety, deciding that Riley needs to change...
75 KB (6,989 words) - 03:59, 5 October 2024
In category theory, a branch of mathematics, the opposite category or dual category Cop of a given category C is formed by reversing the morphisms, i.e...
5 KB (592 words) - 16:39, 15 January 2024
Initial and terminal objects (redirect from Pointed category)
it is called a zero object or null object. A pointed category is one with a zero object. A strict initial object I is one for which every morphism into...
11 KB (1,336 words) - 16:25, 21 January 2024
Vito Coppola (category Strictly Come Dancing winners)
And Vito Coppola Respond To Strictly Fans' Complaints Of Underscoring From Judges". HuffPost UK. December 2, 2022. "Strictly best thing to ever happen to...
23 KB (1,237 words) - 00:02, 30 September 2024
Preorder (redirect from Strict preorder)
integers). Preorders are closely related to equivalence relations and (non-strict) partial orders. Both of these are special cases of a preorder: an antisymmetric...
23 KB (3,351 words) - 13:50, 21 July 2024
HTML (redirect from HTML strict)
HTML 4.01//EN" "https://www.w3.org/TR/html4/strict.dtd"> This declaration references the DTD for the "strict" version of HTML 4.01. SGML-based validators...
83 KB (9,524 words) - 06:30, 19 September 2024
In mathematics, specifically in category theory, a pre-abelian category is an additive category that has all kernels and cokernels. Spelled out in more...
10 KB (1,382 words) - 03:45, 26 March 2024
prototypical example of an abelian category is the category of abelian groups, Ab. Abelian categories are very stable categories; for example they are regular...
19 KB (2,643 words) - 03:45, 26 March 2024
In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products...
28 KB (4,352 words) - 03:41, 22 March 2024
In category theory, a branch of mathematics, a functor category D C {\displaystyle D^{C}} is a category where the objects are the functors F : C → D {\displaystyle...
11 KB (1,776 words) - 11:27, 19 July 2023
they take their feet off our necks." "About". Strict Scrutiny. Archived from the original on February 2, 2022. Retrieved March 23, 2022. Litman, Leah;...
4 KB (298 words) - 17:34, 25 August 2024
Morphism (redirect from Morphism (category theory))
In mathematics, a morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures...
12 KB (1,499 words) - 00:20, 24 September 2024
Functor (redirect from Functor (category theory))
In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic...
24 KB (3,513 words) - 02:56, 11 August 2024
fundamental constitutional right, the court may apply the strict scrutiny standard. Strict scrutiny holds the challenged law as presumptively invalid...
12 KB (1,453 words) - 16:20, 17 August 2024