title: A note on bounds for VC dimensions.
abstract: We provide bounds for the VC dimension of class of sets formed by unions, intersections, and products of VC classes of sets 𝒞(1),…,𝒞(m.
authors: Department of Mathematics, Faculty of Sciences, Vrije Universiteit De Boelelaan 1081a, 1081 HV Amsterdam,  aad@cs.vu.nl.
authors: Aad
authors: A
authors: van der Vaart
authors: Jon A
authors: JA
authors: Wellner