Simplicial Set

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:

    It may be that the most interesting American struggle is the struggle to set oneself free from the limits one is born to, and then to learn something of the value of those limits.
    Greil Marcus (b. 1945)