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A model and its subset

Published online by Cambridge University Press:  12 March 2014

Ludomir Newelski
Ludomir Newelski*
Affiliation:
Mathematical Institute, Polish Academy Of Sciences, 51-617 Wrocław, Poland
*
IM PAN, Kopernika 18, 51-617 Wrocław, Poland
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Abstract

We try to count the number of countable models M of T with a fixed set Q = Φ(M) of realizations of a type Φ. Also, for stable T, we define an ordinal rank measuring multiplicity of types, with additivity properties similar to those of U-rank.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 57 , Issue 2 , June 1992 , pp. 644 - 658
Copyright
Copyright © Association for Symbolic Logic 1992

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References

REFERENCES

[Ba]Baldwin, J. T., Fundamentals of stability theory, Springer-Verlag, Berlin, 1988.CrossRefGoogle Scholar
[Bu1]Buechler, S., Classification of small weakly minimal sets. I, Classification theory, proceedings, Chicago 1985 (Baldwin, J. T., editor), Lecture Notes in Mathematics, vol. 1292, Springer-Verlag, Berlin, 1987, pp. 32–71.Google Scholar
[Bu2]Buechler, S., Coordinatization in superstable theories. II, Transactions of the American Mathematical Society, vol. 307 (1988), pp. 411–418.CrossRefGoogle Scholar
[HHM]Hodges, W., Hodkinson, I. M., and Macpherson, D., Omega-categoricity, relative categoricity and coordinatization, Annals of Pure and Applied Logic, vol. 46 (1990), pp. 169–199.CrossRefGoogle Scholar
[La]Lachlan, A. H., A property of stable theories, Fundamenta Mathematicae, vol. 77 ( 1972), pp. 9–20.CrossRefGoogle Scholar
[Ls]Lascar, D., Ranks and definability in superstable theories, Israel Journal of Mathematics, vol. 23 (1976), pp. 53–87.CrossRefGoogle Scholar
[LP]Lascar, D. and Poizat, B., An introduction to forking, this Journal, vol. 44 (1979), pp. 330–350.Google Scholar
[N1]Newelski, L., A proof of Saffe's conjecture, Fundamenta Mathematicae, vol. 134 (1990), pp. 143–155.CrossRefGoogle Scholar
[N2]Newelski, L., Omitting types for stable ccc theories, this Journal, vol. 55 (1990), pp. 1037–1047.Google Scholar
[N3]Newelski, L., Scott analysis of pseudotypes, this Journal (submitted).Google Scholar
[Ox]Oxtoby, J. C., Measure and category, Springer-Verlag, Berlin, 1980.CrossRefGoogle Scholar
[Sh]Shelah, S., Classification theory and the number of non-isomorphic models, North-Holland, Amsterdam, 1978.Google Scholar