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The Polytope of<i>m</i>-Subspaces of a Finite Affine Space

The Polytope of<i>m</i>-Subspaces of a Finite Affine Space

The m-subspace polytope is defined as the convex hull of the characteristic vectors of all m-dimensional subspaces of a finite affine space. The particular case of the hyperplane polytope has been investigated by Maurras (1993) and Anglada and Maurras (2003), who gave a complete characterization of the facets. The general …