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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“You do not become a “dissident” just because you decide one day to take up this most unusual career. You are thrown into it by your personal sense of responsibility, combined with a complex set of external circumstances. You are cast out of the existing structures and placed in a position of conflict with them. It begins as an attempt to do your work well, and ends with being branded an enemy of society.”
—Václav Havel (b. 1936)