In mathematics, a comma category (a special case being a slice category) is a construction in category theory. It provides another way of looking at morphisms:...
17 KB (2,869 words) - 11:17, 2 May 2024
Universal property (category Category theory)
abstractly as initial or terminal objects of a comma category (see § Connection with comma categories, below). Universal properties occur almost everywhere...
24 KB (3,936 words) - 02:15, 26 February 2024
we can define the category of cones to F as the comma category (Δ ↓ F). Morphisms of cones are then just morphisms in this category. This equivalence...
6 KB (924 words) - 07:40, 5 March 2024
The comma , is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation...
49 KB (5,085 words) - 19:00, 13 August 2024
In category theory, a branch of mathematics, a pushout (also called a fibered coproduct or fibered sum or cocartesian square or amalgamated sum) is the...
13 KB (1,949 words) - 16:44, 19 August 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
In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit...
15 KB (1,978 words) - 02:10, 30 July 2024
well-definition A mathematical symbol for "approaching from above" A comma category, in category theory Down (game theory), a mathematical game The ingressive...
1 KB (138 words) - 22:34, 24 January 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) - 17:32, 10 July 2024
In category theory, a branch of mathematics, duality is a correspondence between the properties of a category C and the dual properties of the opposite...
5 KB (713 words) - 00:15, 6 March 2024