Zilber's conjecture for some o-minimal structures over the reals

Annals of Pure and Applied Logic - Tập 61 - Trang 223-239 - 1993
Ya'acov Peterzil1
1McGill University, 845 Sherbrooke St West, Montreal, Quebec H3A 2T5 Canada

Tài liệu tham khảo

Buechler, 1985, One theorem of Zilber's on strongly minimal sets, J. Symbolic Logic, 50, 1054, 10.2307/2273990 Bochnak, 1988 E. Hrushovski, A new strongly minimal set, Notes. Knight, 1986, Definable sets in ordered structures II, Trans. Amer. Math. Soc., 295, 593, 10.1090/S0002-9947-1986-0833698-1 Loveys, 1993, Linear o-minimal structures, Israel J. Math., 81, 1, 10.1007/BF02761295 Marker, 1992, Additive reducts of real closed fields, J. Symbolic Logic, 57, 109, 10.2307/2275179 Nesin, 1991, Some model theory for compact Lie groups, Trans. Amer. Math. Soc., 326, 453, 10.1090/S0002-9947-1991-1002922-9 Y. Peterzil, Constructing a group-interval in o-minimal structures, Preprint. Pillay, 1988, On groups and fields definable in o-minimal structures, J. Pure Appl. Algebra, 53, 239, 10.1016/0022-4049(88)90125-9 Pillay, 1986, Definable sets in ordered structures I, Trans. Amer. Math. Soc., 295, 565, 10.1090/S0002-9947-1986-0833697-X E. Rabinovich, Defining a field in sufficiently rich incidence systems, Ph.D. thesis. E. Rabinovich and B. Zilber, Additive reducts of algebraically closed fields, Preprint. A. Wilkie, Smooth o-minimal theories and the model completeness of the exponential field, Preprint. Zilber, 1986, Structural properties of models of ℵ1-categorical theories, VII, 115