Mathematics – Logic
Scientific paper
2003-03-27
Annals of Pure and Applied Logic, 120 (2003), 263-283
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 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.
Laskowski Michael C.
Shelah Saharon
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