Simplicial complex

Definition

In mathematics, a simplicial complex is a structured set of simplices such that all the faces and intersections of the elements are also included in the set. Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory. The purely combinatorial counterpart to a simplicial complex is an abstract simplicial complex. To distinguish a simplicial complex from an abstract simplicial complex, the former is often called a geometric simplicial complex.

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