Main gap for locally saturated elementary submodels of a homogeneous structure
Journal of Symbolic Logic 66 (3):1286-1302 (2001)
| Abstract | We prove a main gap theorem for locally saturated submodels of a homogeneous structure. We also study the number of locally saturated models, which are not elementarily embeddable into each other | |||||||||
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Tapani Hyttinen & Saharon Shelah (1994). Constructing Strongly Equivalent Nonisomorphic Models for Unsuperstable Theories, Part A. Journal of Symbolic Logic 59 (3):984-996.
Masanori Itai, Akito Tsuboi & Kentaro Wakai (2004). Construction of Saturated Quasi-Minimal Structure. Journal of Symbolic Logic 69 (1):9-22.
Tapani Hyttinen (1995). Remarks on Structure Theorems for $\Omega_{1}$ -Saturated Models. Notre Dame Journal of Formal Logic 36 (2):269-278.
Stefan Geschke (2002). Applications of Elementary Submodels in General Topology. Synthese 133 (1-2):31 - 41.
Steven Buechler (1991). Pseudoprojective Strongly Minimal Sets Are Locally Projective. Journal of Symbolic Logic 56 (4):1184-1194.
Benoît Mariou (2001). Modèles Saturés Et Modèles Engendrés Par Des Indiscernables. Journal of Symbolic Logic 66 (1):325-348.
Ermek S. Nurkhaidarov & Erez Shochat (2010). Automorphisms of Saturated and Boundedly Saturated Models of Arithmetic. Notre Dame Journal of Formal Logic 52 (3):315-329.
Rami Grossberg (1991). On Chains of Relatively Saturated Submodels of a Model Without the Order Property. Journal of Symbolic Logic 56 (1):124-128.
B. Hart, A. Pillay & S. Starchenko (1995). 1-Based Theories — the Main Gap for a -Models. Archive for Mathematical Logic 34 (5).
Tapani Hyttinen & Olivier Lessmann (2002). A Rank for the Class of Elementary Submodels of a Superstable Homogeneous Model. Journal of Symbolic Logic 67 (4):1469-1482.
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