Valuations on Polytopes Containing the Origin in Their Interiors

✍ Scribed by Monika Ludwig

• Book ID: 102565027
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 174 KB
• Volume: 170
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.2002.2077

✦ Synopsis

We give a classification of non-negative or Borel measurable, SLðdÞ 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.