The Karp complexity of unstable classes

Details The Karp complexity of unstable classes The Karp complexity of unstable classes

2000-11-21

arxiv.org/abs/math/0011167v1

Mathematics

Logic

Scientific paper

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.

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