English

A note on the Steinitz Lemma

Metric Geometry 2026-03-20 v3 Combinatorics Functional Analysis

Abstract

We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero-sum families consisting of `nearly unit' vectors.

Keywords

Cite

@article{arxiv.2505.09465,
  title  = {A note on the Steinitz Lemma},
  author = {Gergely Ambrus and Rainie Heck},
  journal= {arXiv preprint arXiv:2505.09465},
  year   = {2026}
}

Comments

Final version, published in Mathematika

R2 v1 2026-06-28T23:33:10.838Z