functorial Definition
relating to or having the properties of a functor, a mathematical function that maps between categories.
Using functorial: Examples
Take a moment to familiarize yourself with how "functorial" can be used in various situations through the following examples!
Example
The concept of functoriality is fundamental in category theory.
Example
Functorial constructions are used to define algebraic structures.
Example
The functorial approach allows for a more abstract and general treatment of mathematical objects.
Summary: functorial in Brief
The term 'functorial' [fʌŋkˈtɔːrɪəl] refers to a mathematical function that maps between categories. It is a fundamental concept in category theory and is used to define algebraic structures. The functorial approach allows for a more abstract and general treatment of mathematical objects.