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, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas...
14 KB (2,379 words) - 20:32, 3 February 2024
concept of limit in category theory. By working in the dual category, that is by reversing the arrows, an inverse limit becomes a direct limit or inductive...
15 KB (2,266 words) - 15:54, 13 July 2024
category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of...
15 KB (1,978 words) - 02:10, 30 July 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
the limit depends on the system of homomorphisms. Direct limits are a special case of the concept of colimit in category theory. Direct limits are dual...
12 KB (2,066 words) - 22:39, 1 June 2024
In category theory, a branch of mathematics, the cone of a functor is an abstract notion used to define the limit of that functor. Cones make other appearances...
6 KB (924 words) - 07:40, 5 March 2024
Cokernel Pushout (category theory) Direct limit Biproduct Direct sum Preadditive category Additive category Pre-Abelian category Abelian category Exact sequence...
5 KB (402 words) - 15:20, 29 March 2024
Category theory is a general theory of mathematical structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the...
34 KB (3,827 words) - 02:56, 10 August 2024
Coproduct (redirect from Coproduct (category theory))
In category theory, the coproduct, or categorical sum, is a construction which includes as examples the disjoint union of sets and of topological spaces...
12 KB (2,129 words) - 00:42, 19 June 2024