High Quality Content by WIKIPEDIA articles! In the mathematical discipline of simplicial homology theory, a simplicial map is a map between simplicial complexes with the property that the images of the vertices of a simplex always span a simplex. Note that this implies that vertices have vertices for images.Simplicial maps are thus maps defined on a finite number of points, and there exists a finite amount of them which can be defined between any two given simplicial complexes. Simplicial maps induce continuous maps between the underlying polyhedra of the simplicial complexes: one simply extends linearly using barycentric coordinates.

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