morphism

Map (arrow) between two objects of a category

EntityQ1948412

Also known as arrow · 1-cell

Subclass of: mathematical object
Part of: category

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, a morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set to another set, and continuous functions between topological spaces. Although many examples of morphisms are structure-preserving maps, morphisms need not be maps, but they can be composed in a way that is similar to function composition.

Overview

All data

30 statements · 30% with external sources · numbers in brackets are citations

Has characteristic: left-totality
right-uniqueness
Different from: homomorphism
mapping
Studied by: category theory
Main Wikidata property: morphisms

On other databases

23 identifiers linking morphism across the web's reference databases

Data quality

statements

30%

externally sourced

Source last edited September 6, 2026. AIDB refreshes this page daily.

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AIDB. (2026). morphism (Q1948412). Retrieved from https://aidb.si/e/morphism-Q1948412