Valuations on Polytopes containing the Origin in their Interiors
نویسنده
چکیده
We give a classification of non-negative or Borel measurable, SL(d) invariant, homogeneous valuations on the space of d-dimensional convex polytopes containing the origin in their interiors. The only examples are volume, volume of the polar body, and the Euler characteristic.
منابع مشابه
Moment Vectors of Polytopes
We give a classification of Borel measurable, SL(d) covariant or contravariant, homogeneous, vector valued valuations on the space of ddimensional convex polytopes containing the origin in their interiors. The only examples are moment vectors of polytopes and moment vectors of polar polytopes. MSC 2000: 52B45, 52A38.
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