e/Nerve (category theory)

Information
has gloss	eng: In category theory, the nerve N(C) of a small category C is a simplicial set constructed from the objects and morphisms of C. The geometric realization of this simplicial set is a topological space, called the classifying space of the category C. These closely related objects can provide information about some familiar and useful categories using algebraic topology, most often homotopy theory.
lexicalization	eng: nerve
instance of	c/Simplicial sets

Media
media:img	Mappings-as-moduli.png
media:img	Nerve-2-simplex.png