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Preprint Number 472

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472. Saharon Shelah and Michael C. Laskowski
P-NDOP and P-decompositions of aleph_epsilon-saturated models of superstable theories

Submission date: 26 June 2012.


Assume a complete superstable theory is superstable, and let P be a class of regular types, typically closed under automorphisms of the monster and non-orthogonality. We define the notion of P-NDOP and prove the existence of P-decompositions and derive an analog of Sh401 for superstable theories with P-NDOP. In this context, we also find a sufficient condition on P-decompositions that imply non-isomorphic models. For this, we investigate natural structures on the types in P\intersect S(M) modulo non-orthogonality.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1206.6028: pdf, ps.

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