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Preprint Number 954

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954. Will Boney
No Maximal Models from Looking Down

Submission date: 3 November 2015


In [Sh893], Shelah proves that (on a stationary set of cardinals) an AEC has not too many models or every model has extensions of arbitrary cardinality. We show that, if we assume limited amalgamation, then the second condition holds for a larger class of cardinals.

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Full text arXiv 1511.01054: pdf, ps.

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