Weakly homogeneous models
Proc. Amer. Math. Soc. 86 (1982), 126-132
Primary 03C45; Secondary 03C15, 03C50
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Abstract: I consider some notions of weak homogeneity, which generalise -homogeneity. I first analyse a specific such notion, called almost homogeneity, in the context of -stable theories. (Almost homogeneity is just like -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 -homogeneous countable models, in particular the result that the isomorphism type of such a model is determined by the types which it realises.
E. Bouscaren and D. Lascar, The countable models of a non-multidimensional -stable theory (to appear).
Lascar and Bruno
Poizat, An introduction to forking, J. Symbolic Logic
44 (1979), no. 3, 330–350. MR 540665
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
- E. Bouscaren and D. Lascar, The countable models of a non-multidimensional -stable theory (to appear).
- D. Lascar and B. Poizat, An introduction to forking, J. Symbolic Logic 44 (1979), 330-350. MR 540665 (80k:03030)
- S. Shelah, Classification theory and the number of non-isomorphic models, North-Holland, Amsterdam, 1978. MR 513226 (81a:03030)
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