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Preprint Number 1409

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1409. M. Malliaris and S. Shelah
An example of a new simple theory

Submission date: 9 April 2018


We construct a countable simple theory which, in Keisler's order, is strictly above the random graph (but “barely so”) and also in some sense orthogonal to the building blocks of the recently discovered infinite descending chain. As a result we prove in ZFC that there are incomparable classes in Keisler's order.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1804.03254: pdf, ps.

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