Graduate studies at Western
Journal of Symbolic Logic 55 (3):1292-1298 (1990)
|Abstract||We define a rich model to be one which contains a proper elementary substructure isomorphic to itself. Existence, nonstructure, and categoricity theorems for rich models are proved. A theory T which has fewer than $\min(2^\lambda,\beth_2)$ rich models of cardinality $\lambda(\lambda > |T|)$ is totally transcendental. We show that a countable theory with a unique rich model in some uncountable cardinal is categorical in ℵ 1 and also has a unique countable rich model. We also consider a stronger notion of richness, and use it to characterize superstable theories|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
S. Ducheyne (2008). Towards an Ontology of Scientific Models. Metaphysica 9 (1):119-127.
A. R. D. Mathias (2001). Slim Models of Zermelo Set Theory. Journal of Symbolic Logic 66 (2):487-496.
Julien S. Murphy (1987). The Look in Sartre and Rich. Hypatia 2 (2):113 - 124.
H. P. Barendregt (1984). The Lambda Calculus: Its Syntax and Semantics. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
Saharon Shelah (1989). The Number of Pairwise Non-Elementary-Embeddable Models. Journal of Symbolic Logic 54 (4):1431-1455.
Harold Schellinx (1991). Isomorphisms and Nonisomorphisms of Graph Models. Journal of Symbolic Logic 56 (1):227-249.
Rami Grossberg (1991). On Chains of Relatively Saturated Submodels of a Model Without the Order Property. Journal of Symbolic Logic 56 (1):124-128.
Rami Grossberg (1989). Models with Second Order Properties in Successors of Singulars. Journal of Symbolic Logic 54 (1):122-137.
Rami Grossberg & Saharon Shelah (1986). On the Number of Nonisomorphic Models of an Infinitary Theory Which has the Infinitary Order Property. Part A. Journal of Symbolic Logic 51 (2):302-322.
John T. Baldwin (1990). The Spectrum of Resplendency. Journal of Symbolic Logic 55 (2):626-636.
Added to index2009-01-28
Total downloads2 ( #246,325 of 739,318 )
Recent downloads (6 months)0
How can I increase my downloads?