Simplicial sets (source code)

= Simplicial sets
{wiki=Category:Simplicial_sets}

Simplicial sets are a concept from algebraic topology and category theory that serve as a combinatorial model for homotopy types. They generalize the notion of simplicial complexes and provide a framework for studying topological spaces through discrete structures. \#\#\# Definition: A simplicial set is a functor from a simplicial category (usually the category of finite ordered sets and order-preserving maps) to the category of sets.