Skip to main content
SpringerLink
Log in

Strongly minimal countably categorical theories. II

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. B. I. Zil'ber, “Strongly minimal countably categorical theories,” Sib. Mat. Zh.,21, No. 2, 98–112 (1980).

    Google Scholar 

  2. B. I. Zil'ber, “Totally categorical structures, and combinatorial geometries,” Dokl. Akad. Nauk SSSR,259, No. 5, 1039–1041 (1981).

    Google Scholar 

  3. H. Grapo and G. Rota, On the Foundations of Combinatorial Theory. Combinatorial Geometries, MIT Press, Cambridge, Massachusetts (1970).

    Google Scholar 

  4. J. T. Baldwin and A. H. Lachlan, “On strongly minimal sets,” J. Symb. Logic,36, No. 1, 79–96 (1971).

    Google Scholar 

  5. B. I. Zil'ber, “Structure of models of categorical theories, and the problem of finite axomatizability,” Submitted No. 2800-77 (1977).

  6. B. I. Zilber, “Totally categorical theories: structural properties and the nonfinite axiomatizability,” in: Model Theory of Algebra and Arithmetic, Proceedings of a Conference held at Karpacz, Poland, Lecture Notes in Math., Vol. 834, Springer-Verlag, Berlin (1980), pp. 381–410.

    Google Scholar 

  7. B. I. Zil'ber, “On the problem of finite axiomatizability for theories that are categorical in all infinite cardinals,” in: Studies on Theoretical Programming, Alma-Ata (1981), pp. 69–75.

  8. G. Cherlin, L. Harrington, and A. H. Lachlan, ”\(\aleph _0 \) -Categorical\(\aleph _0 \) -stable theories,” Preprint (1981).

  9. J. Doyen and X. Hubaut, “Finite regular locally projective spaces,” Math. Z.,119, No. 1, 83–88 (1971).

    Google Scholar 

  10. A. H. Lachlan, “Two conjectures regarding the stability of ω-categorical theories,” Fund. Math.,81, No. 2, 133–147 (1974).

    Google Scholar 

  11. D. Lascar, “Ranks and definability in superstable theories,” Isr. J. Math.,23, No. 1, 53–87 (1976).

    Google Scholar 

  12. B. I. Zil'ber, “On the transcendence rank of formulas in\(\aleph _1 \) -categorical theories,” Mat. Zametki, No. 2, 321–329 (1974).

    Google Scholar 

  13. P. Dembowski, Finite Geometries, Berlin (1968).

Download references

Authors
  1. B. I. Zil'ber
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 25, No. 3, pp. 71–88, May–June, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zil'ber, B.I. Strongly minimal countably categorical theories. II. Sib Math J 25, 396–412 (1984). https://doi.org/10.1007/BF00968979

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00968979

Keywords

Search

Navigation