ArticleOriginal scientific text
Title
A remark on Vapnik-Chervonienkis classes
Authors 1
Affiliations
- Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
Abstract
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.
Bibliography
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Pages:
93-98
Main language of publication
English
Received
1996-11-05
Accepted
1996-12-02
Published
1997
Exact and natural sciences