Advertisement

Siberian Mathematical Journal

, Volume 21, Issue 6, pp 815–824 | Cite as

Rank functions in stable theories

  • T. G. Mustafin
Article
  • 13 Downloads

Keywords

Stable Theory Rank Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    M. Morley, “Categoricity in power,” Trans. Am. Math. Soc.,114, No. 2, 514–538 (1965).Google Scholar
  2. 2.
    S. Shelah, “Stability, the fcp, and superstability,” Ann. Math. Logic,3, No. 3, 271–362 (1971).Google Scholar
  3. 3.
    S. Shelah, “Uniqueness and characterization of prime models over sets for totally transcendental first-order theories,” J. Symbolic Logic,37, No. 1, 107–113 (1972).Google Scholar
  4. 4.
    S. Shelah, “On theories T categorical in |T|,” J. Symbolic Logic,35, No. 1, 73–82 (1970).Google Scholar
  5. 5.
    S. Shelah, “Finite diagrams stable in power,” Ann. Math. Logic,2, No. 1, 69–118 (1970).Google Scholar
  6. 6.
    A. H. Lachlan, “A property of stable theories,” Fund. Math.,77, No. 1, 9–20 (1972).Google Scholar
  7. 7.
    A. H. Lachlan, “On the number of countable models of a countable superstable theory,” in: Logic, Methodology, and the Philosophy of Science, IV, Amsterdam, North-Holland (1973), pp. 45–56.Google Scholar
  8. 8.
    J. T. Baldwin, “αT is finite for ℵ1-categorical T,” Trans. Am. Math. Soc.,181, No. 1, 37–52 (1973).Google Scholar
  9. 9.
    J. T. Baldwin and A. Blass, “An axiomatic approach to rank in model theory,” Ann. Math. Logic,7, No. 3, 295–324 (1974).Google Scholar
  10. 10.
    D. Lascar, “Ranks and definability in superstable theories,” Israel J. Math.,23, No. 1, 53–87 (1976).Google Scholar
  11. 11.
    V. Harnik, “On the existence of saturated models of stable theories,” Proc. Am. Math. Soc.,52, 361–366, October (1975).Google Scholar
  12. 12.
    A. H. Lachlan, “Dimension and totally transcendental theories of rank 2,” in: Set Theory and Hierarchy Theory. A Memorial Tribute to Andrzej Mostowski. Bierutowice, Poland, 1975, Springer-Verlag, New York (1976), pp. 153–183.Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • T. G. Mustafin

There are no affiliations available

Personalised recommendations