Résumé : Steinitz's lemma is about a finite set $V$ of at most unit vectors in $R^d$ whose sum equals zero. It states that the elements of $V$ can be ordered so that all partial sums along this ordering have norm at most 2d. I'm going to explain and prove a matrix version of this lemma. Moreover, I plan to give a bouquet of open questions from various areas of discrete and convex geometry.

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Dernière modification : Thursday 21 November 2024

Contact pour cette page : Cyril.Banderier at lipn.univ-paris13.fr