Upward Stability Transfer for Tame Abstract Elementary Classes

Mathematics – Logic

Scientific paper

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Scientific paper

Grossberg and VanDieren have started a program to develop a stability theory
for tame classes. We prove, for instance, that for tame abstract elementary
classes satisfying the amlagamation property and for large enough cardinals
kappa, stability in kappa implies stability in kappa^{+n} for each natural
number n.

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