In mathematics, a simplicial set is a construction in categorical homotopy theory which is a purely algebraic model of the notion of a "well-behaved" topological space. Historically, this model arose from earlier work in combinatorial topology and in particular from the notion of simplicial complexes.
Read more about Simplicial Set: Motivation, Formal Definition, Face and Degeneracy Maps, The Standard n-simplex and The Simplex Category, Geometric Realization, Singular Set For A Space, Homotopy Theory of Simplicial Sets, Simplicial Objects
Famous quotes containing the word set:
“Women are to be lifted up to a physical equality with man by placing upon their shoulders equal burdens of labor, equal responsibilities of state-craft; they are to be brought down from their altruistic heights by being released from all obligations of purity, loyalty, self-sacrifice, and made free of the world of passion and self-indulgence, after the model set them by men of low and materialistic ideals.”
—Caroline Fairfield Corbin (b. c. 1835?)