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• # Artykuł - szczegóły

## Fundamenta Mathematicae

2015 | 229 | 1 | 47-81

## P-NDOP and P-decompositions of $ℵ_{ϵ}$-saturated models of superstable theories

EN

### Abstrakty

EN
Given a complete, superstable theory, we distinguish a class P of regular types, typically closed under automorphisms of ℭ and non-orthogonality. We define the notion of P-NDOP, which is a weakening of NDOP. For superstable theories with P-NDOP, we prove the existence of P-decompositions and derive an analog of the first author's result in Israel J. Math. 140 (2004). In this context, we also find a sufficient condition on P-decompositions that implies non-isomorphic models. For this, we investigate natural structures on the types in P ∩ S(M) modulo non-orthogonality.

47-81

wydano
2015

### Twórcy

autor
• Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem, 91904, Israel
• Department of Mathematics, Hill Center, Busch Campus, Rutgers, the State University of New Jersey, 110 Frelinghuysen Road, Piscataway, NJ 08854-9019, U.S.A.
autor
• Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A.