Simplicial complex

In mathematics, a simplicial complex is a topological space of a particular kind, built up of points, line segments, triangles, and their n-dimensional counterparts. Informally, a simplicial complex is made of a set of simplices that intersect with each other only by their common faces. In algebraic topology these spaces are found to be the easiest to deal with, in terms of concrete calculations. Simplicial complexes should not be confused with the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory.

Related Topics:
Mathematics - Topological space - Point - Line segment - Triangle - Simplices - Algebraic topology - Simplicial set

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