%0 Journal Article
%T Karp complexity and classes with the independence property
%A Michael C. Laskowski
%A Saharon Shelah
%J Mathematics
%D 2003
%I arXiv
%X A class K of structures is controlled if for all cardinals lambda, the relation of L_{infty,lambda}-equivalence partitions K into a set of equivalence classes (as opposed to a proper class). We prove that no pseudo-elementary class with the independence property is controlled. By contrast, there is a pseudo-elementary class with the strict order property that is controlled.
%U http://arxiv.org/abs/math/0303345v1