No CrossRef data available.
Article contents
Directed free pseudospaces
Published online by Cambridge University Press: 12 March 2014
Abstract
We show that the free pseudospace is a reduct of a 1-based theory. This answers a question of David M. Evans. The theory is superstable, but not ω-stable.
- Type
- Research Article
- Information
- Copyright
- Copyright © Association for Symbolic Logic 2010
References
REFERENCES
[1]Baldwin, John T., Fundamentals of stability theory, Perspectives in Mathematical Logic, Springer-Verlag, 1988.CrossRefGoogle Scholar
[2]Baudisch, Andreas and Pillay, Anand, A free pseudospace, this Journal, vol. 65 (2000), pp. 443–460.Google Scholar
[4]Evans, David M., Trivial stable structures with non-trivial reducts, Journal of the London Mathematical Society. Second Series, vol. 72 (2005), pp. 351–363.CrossRefGoogle Scholar
[5]Evans, David M., Pillay, Anand, and Poizat, Bruno, A group in a group, Algebra and Logic, vol. 29 (1990), pp. 244–252.CrossRefGoogle Scholar
[6]Hrushovski, Ehud, A new strongly minimal set, Annals of Pure and Applied Logic, vol. 62 (1993), pp. 147–166.CrossRefGoogle Scholar
[7]Hrushovski, Ehud and Pillay, Anand, Weakly normal groups, Logic Colloquium '85 (The Paris Logic Group, editor), Studies in Logic and the Foundations of Mathematics Volume 122, North-Holland, 1987, pp. 233–244.CrossRefGoogle Scholar
[8]Lachlan, Alistair H., Two conjectures regarding the stability of ω-categorical theories, Fundamenta Mathematicae, vol. 81 (1974), pp. 133–145.CrossRefGoogle Scholar
[9]Pillay, Anand, Stable theories, pseudoplanes and the number of countable models, Annals of Pure and Applied Logic, vol. 43 (1989), pp. 147–160.CrossRefGoogle Scholar
[10]Pillay, Anand, The geometry of forking and groups of finite Morley rank, this Journal, vol. 60 (1995), pp. 1251–1259.Google Scholar
[11]Pillay, Anand, Geometrie stability theory, Oxford Logic Guides 32, Clarendon Press, 1996.CrossRefGoogle Scholar
[12]Pillay, Anand, A note on CM-triviality and the geometry of forking, this Journal, vol. 65 (2000), pp. 474–480.Google Scholar
[13]Zil'ber, Boris I., Structural properties of models of ℵ1-categorical theories, Proceedings of the Seventh International Congress of Logic, Methodology and Philosophy of Science, Salzburg, 1983 (Marcus, Ruth Barcan, Dorn, Georg J. W., and Weingartner, Paul, editors), Studies in Logic and the Foundations of Mathematics, vol. 114, North-Holland, 1986, pp. 115–128.Google Scholar