Categoricity may fail late

Details Categoricity may fail late Categoricity may fail late

2004-04-14

arxiv.org/abs/math/0404258v1

Mathematics

Logic

Scientific paper

We build an example that generalizes math.LO/9201240 to uncountable cases. In particular, our example yields a sentence psi in L_{(2^lambda)^+, omega} that is categorical in lambda, lambda^+, ..., lambda^{+k} but not in beth_{k+1}(lambda)^+. This is connected with the Los Conjecture and with Shelah's own conjecture and construction of excellent classes for the psi in L_{omega_1,omega} case.

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