Definitions

1. adjective

relating to or denoting a mathematical concept that associates with each object in a category a mapping from that object to some other object, often used in algebraic topology and category theory.

“The functorial approach to geometry has become a standard tool in modern mathematics.”

2. noun

a mathematical concept that associates with each object in a category a mapping from that object to some other object.

“The functorial construction of the cohomology ring is a key step in the proof of the theorem.”