Weakly homogeneous models
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- by Anand Pillay PDF
- Proc. Amer. Math. Soc. 86 (1982), 126-132 Request permission
Abstract:
I consider some notions of weak homogeneity, which generalise $\omega$-homogeneity. I first analyse a specific such notion, called almost homogeneity, in the context of $\omega$-stable theories. (Almost homogeneity is just like $\omega$-homogeneity, but using strong types in place of types.) Then in a more general context, I prove for weakly homogeneous countable models some classification results which are known for $\omega$-homogeneous countable models, in particular the result that the isomorphism type of such a model is determined by the types which it realises.References
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E. Bouscaren and D. Lascar, The countable models of a non-multidimensional $\omega$-stable theory (to appear).
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- Saharon Shelah, Classification theory and the number of nonisomorphic models, Studies in Logic and the Foundations of Mathematics, vol. 92, North-Holland Publishing Co., Amsterdam-New York, 1978. MR 513226
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 126-132
- MSC: Primary 03C45; Secondary 03C15, 03C50
- DOI: https://doi.org/10.1090/S0002-9939-1982-0663881-1
- MathSciNet review: 663881