P-NDOP and P-decompositions of ${\aleph }_{ϵ}$-saturated models of superstable theories

Saharon Shelah, and Michael C. Laskowski. "P-NDOP and P-decompositions of $ℵ_{ϵ}$-saturated models of superstable theories." Fundamenta Mathematicae 229.1 (2015): 47-81. <http://eudml.org/doc/286319>.

@article{SaharonShelah2015,
abstract = {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.},
author = {Saharon Shelah, Michael C. Laskowski},
journal = {Fundamenta Mathematicae},
keywords = {NDOP; superstable; $\aleph $-saturated},
language = {eng},
number = {1},
pages = {47-81},
title = {P-NDOP and P-decompositions of $ℵ_\{ϵ\}$-saturated models of superstable theories},
url = {http://eudml.org/doc/286319},
volume = {229},
year = {2015},
}

TY - JOUR
AU - Saharon Shelah
AU - Michael C. Laskowski
TI - P-NDOP and P-decompositions of $ℵ_{ϵ}$-saturated models of superstable theories
JO - Fundamenta Mathematicae
PY - 2015
VL - 229
IS - 1
SP - 47
EP - 81
AB - 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.
LA - eng
KW - NDOP; superstable; $\aleph $-saturated
UR - http://eudml.org/doc/286319
ER -