A finite simplicial complex is a type of topological space formed by a finite collection of simplices that are glued together in a specific way. Each simplex is a generalization of a triangle, which includes points (0-simplices), line segments (1-simplices), and filled triangles (2-simplices), among others. These simplices are combined such that the intersection of any two simplices is either empty or a simplex of lower dimension, allowing for the construction of various shapes and spaces.
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