Skip to main content

Dimension and totally transcendental theories of rank 2

Contributed Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 537)

Keywords

  • Equivalence Class
  • Equivalence Relation
  • Isomorphism Type
  • Extended Sense
  • Morley Rank

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. T. Baldwin, Countable theories categorical in uncountable power, Ph. D. Thesis, Simon Fraser University, 1970.

    Google Scholar 

  2. J. T., Baldwin, αT is finite for X1-categorial T, Trans. Amer. Math. Soc. 181(1973), 37–52.

    MathSciNet  Google Scholar 

  3. J. T. Baldwin and A. H. Lachlan, On strongly minimal sets, J. Symb. Logic 36(1971), 79–96.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. A. H., Lachlan, A property of stable theories, Fund. Math., 77(1972), 9–20.

    MathSciNet  MATH  Google Scholar 

  5. A. H. Lachlan, On the number of countable models of a countable superstable theory, Logic Methodology and the Philosophy of Science IV, North-Holland, Amsterdam 1973, 45–56.

    Google Scholar 

  6. A. H. Lachlan, Two conjectures regarding the stability of ω-categorical theories, Fund. Math., 81(1974), 133–145.

    MathSciNet  MATH  Google Scholar 

  7. A. H. Lachlan, Theories with a finite number of models in an uncountable power are categorical, Pacific J. Math., to appear.

    Google Scholar 

  8. D. Lascar, Ranks and definability in superstable theories, preprint.

    Google Scholar 

  9. W. E. Marsh, On ω1-categorical but not ω-categorical theories, Ph. D. Thesis, Dortmouth College 1966.

    Google Scholar 

  10. M. D. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114(1965), 514–538.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. S. Shelah, Stable theories, Israel J. Math. 7(1969), 187–202.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. S. Shelah, Stability, the f.c.p. and superstability; model-theoretic properties of formulas in first-order theory, Ann. Math. Logic 3(1971), 271–362.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. S. Shelah, Uniqueness and characterization of prime models over sets for totally transcendental first-order theories, J. Symbolic Logic 37(1972), 107–113.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. S. Shelah, Categoricity of uncountable theories, Procesdings of Symposia in Pure Mathematics 25, Amer. Math. Soc., Providence 1974, 187–203.

    Google Scholar 

  15. S. Shelah, forthcoming book on stability theory.

    Google Scholar 

  16. A. Wierzejewski, On stability and products, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Lachlan, A.H. (1976). Dimension and totally transcendental theories of rank 2. In: Marek, W., Srebrny, M., Zarach, A. (eds) Set Theory and Hierarchy Theory A Memorial Tribute to Andrzej Mostowski. Lecture Notes in Mathematics, vol 537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096900

Download citation

  • DOI: https://doi.org/10.1007/BFb0096900

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07856-2

  • Online ISBN: 978-3-540-38122-8

  • eBook Packages: Springer Book Archive