ABSTRACT

POSITION TIBOR BISZTRICZKY 1 Department of Mathematics and Statistics, University

of Calgary, Calgary, AB, Canada, T2N 1N4

GÁBOR FEJES TÓTH 2 Alfred Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary, H-1053

ABSTRACT. Let k and l be integers 2≤k≤l. We consider the Erdős-Szekeres convex n-gon problem for sets S of points in the plane with the property that the convex hull of any k points of S contains at most l points of S.