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
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