Geodesic
A remark on Vapnik-Chervonienkis classes
Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 93-98.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the family of all lines in the plane which is a VC class of index 2 cannot be obtained in a finite number of steps starting with VC classes of index 1 and applying the operations of intersection and union. This confirms a common belief among specialists and solves a question asked by several authors.
DOI : 10.4064/cm-74-1-93-98

Agata Smoktunowicz 1

1 
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Agata Smoktunowicz. A remark on Vapnik-Chervonienkis classes. Colloquium Mathematicum, Tome 74 (1997) no. 1, pp. 93-98. doi : 10.4064/cm-74-1-93-98. http://geodesic.mathdoc.fr/articles/10.4064/cm-74-1-93-98/

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