A growth dichotomy for 0-minimal expansions of ordered groups

Transactions of the American Mathematical Society

Volumn 350, Issue 9, 1998, Pages 3505-3521

  Miller, Chris ^a   Starchenko, Sergei ^b  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 22044447610     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-98-02288-0     Document Type: Article

References (8)

1. L. van den Dries, Tame Topology and O-minimal Structures, London Math. Soc. Lecture Note Ser., Cambridge Univ. Press, Cambridge (to appear).
2. J. Knight, A. Pillay and C. Steinhorn, Definable sets in ordered structures. II, Trans. Amer. Math. Soc. 295 (1986), 593-605. MR 88b:03050b
3. D. Marker and C. Miller, Levelled o-minimal structures, Rev. Mat. Univ. Complut. (Madrid) 10 (1997), 241-249.
4. C. Miller, A growth dichotomy for o-minimal expansions of ordered fields, Logic: from Foundations to Applications, Oxford Sei. Publ., Oxford Univ. Press, New York, 1996, pp. 385-399. MR 98a:03052
5. M. Otero, Y. Peterzil and A. Pillay, On groups and rings definable in o-minimal expansions of real closed fields, Bull. London Math. Soc. 28 (1996), 7-14. MR 961:12006
6. Y. Peterzil and S. Starchenko, A trichotomy theorem for o-minimal structures, Proc. London Math. Soc. (to appear).
7. A. Pillay and C. Steinhorn, Definable sets in ordered structures. I, TVans. Amer. Math. Soc. 295 (1986), 565-592. MR 88b:03050a
8. R. Poston, Defining multiplication in o-minimal expansions of the additive reals, 3. Symbolic Logic 60 (1995), 797-816. MR 96g:03061