Nerve (category Theory)
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.
Read more about Nerve (category Theory): Motivation, Construction, Examples
Famous quotes containing the word nerve:
“our nerve filaments twitch with its presence
day and night,
nothing we say has not the husky phlegm of it in the saying,
nothing we do has the quickness, the sureness,
the deep intelligence living at peace would have.”
—Denise Levertov (b. 1923)