Source: wikibot/simplicial-set
= Simplicial set
{wiki=Simplicial_set}
A simplicial set is a fundamental concept in algebraic topology and category theory that generalizes the notion of a topological space. It is a combinatorial structure used to study objects in homotopy theory and other areas of mathematics. \#\#\# Definition A **simplicial set** consists of: 1. **Sets of n-simplices**: For each non-negative integer \\( n \\), there is a set \\( S_n \\) which consists of n-simplices.