Simplicial Dimension

Type: Concept

As of November 2026, Simplicial Dimension has been mentioned in one podcast episode on Institute for Advanced Study (Dec 2025). Discussed as a notion of dimension relevant to the study of groups and their properties.

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 ge