From The Art and Popular Culture Encyclopedia

Jump to: navigation, search

Related e



In mathematics, a morphism is an abstraction derived from structure-preserving mappings between two mathematical structures. The notion of morphism recurs in much of contemporary mathematics. In set theory, morphisms are functions; in linear algebra, linear transformations; in group theory, group homomorphisms; in topology, continuous functions, and so on.

The study of morphisms and of the structures (called objects) over which they are defined, is central to category theory. Much of the terminology of morphisms, as well as the intuition underlying them, comes from concrete categories, where the objects are simply sets with some additional structure, and morphisms are structure-preserving functions.

Unless indicated otherwise, the text in this article is either based on Wikipedia article "Morphism" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic. See Art and Popular Culture's copyright notice.

Personal tools