Topologie
Intersection norms and one-faced collections
Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 941-956.

Intersection norms are integer norms on the first homology group of a surface. In this article, we give examples of polytopes which are not the dual unit balls of intersection norms, answering a question asked in [2]. On the way, we investigate the set of collections of curves on Σ 2 whose complement is a disk.

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DOI : 10.5802/crmath.118
Sane, Abdoul Karim 1

1 Unité de Mathématiques Pures et Appliquées (UMPA), ENS-Lyon, France
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Sane, Abdoul Karim. Intersection norms and one-faced collections. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, pp. 941-956. doi : 10.5802/crmath.118. http://www.numdam.org/articles/10.5802/crmath.118/

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