f-Vectors of Polyhedra |
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| Authors: | Min Yan |
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| Affiliation: | (1) Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong |
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| Abstract: | The f-vector of a triangulation of a polyhedron X is the numbers of simplices at various dimensions. We prove that the affine span of f-vectors of X has dimension (n+s+1)/2, where n is the dimension of X, and s is the dimension of the part of X that is singular with respect to the local Euler characteristic. |
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| Keywords: | polyhedron f-vector affine span Euler characteristic link. |
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