This is a preview of subscription content, log in via an institution to check access.
Literature Cited
M. Morley, “Categoricity in power,” Trans. Am. Math. Soc.,114, No. 2, 514–538 (1965).
S. Shelah, “Stability, the fcp, and superstability,” Ann. Math. Logic,3, No. 3, 271–362 (1971).
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).
S. Shelah, “On theories T categorical in |T|,” J. Symbolic Logic,35, No. 1, 73–82 (1970).
S. Shelah, “Finite diagrams stable in power,” Ann. Math. Logic,2, No. 1, 69–118 (1970).
A. H. Lachlan, “A property of stable theories,” Fund. Math.,77, No. 1, 9–20 (1972).
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.
J. T. Baldwin, “αT is finite for ℵ1-categorical T,” Trans. Am. Math. Soc.,181, No. 1, 37–52 (1973).
J. T. Baldwin and A. Blass, “An axiomatic approach to rank in model theory,” Ann. Math. Logic,7, No. 3, 295–324 (1974).
D. Lascar, “Ranks and definability in superstable theories,” Israel J. Math.,23, No. 1, 53–87 (1976).
V. Harnik, “On the existence of saturated models of stable theories,” Proc. Am. Math. Soc.,52, 361–366, October (1975).
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.
Additional information
Karaganda University, Karaganda. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 6, pp. 84–95, November–December, 1980.
Rights and permissions
About this article
Cite this article
Mustafin, T.G. Rank functions in stable theories. Sib Math J 21, 815–824 (1980). https://doi.org/10.1007/BF00968468
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968468