Source: wikibot/simplicial-complex
= Simplicial complex
{wiki=Simplicial_complex}
A simplicial complex is a mathematical structure used in algebraic topology and combinatorial mathematics to study spaces and their properties. It is a way of building up a geometric object from simpler building blocks called simplices. \#\#\# Definition of a Simplicial Complex A simplicial complex \\( K \\) is a set of simplices that satisfies two conditions: 1. **Non-emptiness**: The empty set is in \\( K \\).