An Euler characteristic proof that 4-prismatoids have width at most 4

Abstract

We show that there is no 4-dimensional analogue of the 5-prismatoids used in Santos' recent counterexample to the Hirsch conjecture.

This paper has been withdrawn by the authors. This paper and arXiv:1102.2645 have been merged, forming now the paper arXiv:1104.2630. In the merged paper, the proof has been translated to the dual setting