The Karp complexity of unstable classes
逻辑
2007-05-23 v1
摘要
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 the class of doubly transitive linear orders is controlled, while any pseudo-elementary class with the omega-independence property is not controlled.
引用
@article{arxiv.math/0011167,
title = {The Karp complexity of unstable classes},
author = {Michael C. Laskowski and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0011167},
year = {2007}
}