functorial

[fʌŋkˈtɔːrɪəl]

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.

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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.