English

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

Combinatorics 2011-04-19 v2

Abstract

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

Cite

@article{arxiv.1101.3050,
  title  = {An Euler characteristic proof that 4-prismatoids have width at most 4},
  author = {Tamon Stephen and Hugh Thomas},
  journal= {arXiv preprint arXiv:1101.3050},
  year   = {2011}
}

Comments

This paper has been withdrawn by the authors.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

R2 v1 2026-06-21T17:12:42.456Z