%0 Journal Article
%T Order Types of convex bodies
%A Alfredo Hubard
%A Luis Montejano
%A Emiliano Mora
%A Andrew Suk
%J Mathematics
%D 2010
%I arXiv
%X We give new bounds on the Erdos-Szekeres theorems for convex bodies of Bisztriczky and Fejes Toth and of Pach and Toth. We derive them from a combinatorial characterization of convex position of a family of planar convex bodies. This characterization confirms that the concept of Order Type for points can be extended to noncrossing families of convex bodies in a geometrically meaningful way.
%U http://arxiv.org/abs/1010.4613v1