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:
“Such a set of tittle tattle, prittle prattle visitants! Oh Dear! I am so sick of the ceremony and fuss of these fall lall people! So much dressing—chitchat—complimentary nonsense—In short, a country town is my detestation. All the conversation is scandal, all the attention, dress, and almost all the heart, folly, envy, and censoriousness.”
—Frances Burney (1752–1840)