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:
“When you have come into the land that the LORD your God is giving you, and have taken possession of it and settled in it, and you say, “I will set a king over me, like all the nations that are around me,” you may indeed set over you a king whom the LORD your God will choose. One of your own community you may set as king over you; you are not permitted to put a foreigner over you, who is not of your own community.”
—Bible: Hebrew, Deuteronomy 17:14,15.