English

On norms taking integer values on the integer lattice

Functional Analysis 2017-10-05 v1 Geometric Topology

Abstract

We present a new proof of Thurston's theorem that the unit ball of a seminorm on Rd\mathbf{R}^d taking integer values on Zd\mathbf{Z}^d is a polyhedra defined by finitely many inequalities with integer coefficients.

Keywords

Cite

@article{arxiv.1604.01578,
  title  = {On norms taking integer values on the integer lattice},
  author = {Mikael de la Salle},
  journal= {arXiv preprint arXiv:1604.01578},
  year   = {2017}
}

Comments

Bilingual french-english note; 3 pages, 1 figure

R2 v1 2026-06-22T13:26:23.457Z