An Introduction to Spatial Database Systems
The approach of [FraK86, EgFJ89] is based on combinatorial topology. Basic concepts are those of a simplex, and a simplicial complex. For each dimension d, a d-simplex is a minimal object in that dimension, hence a 0-simplex is a point, a 1-simplex is a line segment, a 2-simplex a triangle, a 3-simplex a tetrahedron, etc.
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