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A note on orthogonality and stable embeddedness

Published online by Cambridge University Press:  12 March 2014

Gregory Cherlin ,
Marko Djordjevic  and
Ehud Hrushovskj
Gregory Cherlin
Affiliation:
Rutgers University, Department of Mathematics, Rutgers, 110 Frelinghuysen Road, Piscataway NJ 08854, USA, E-mail: cherlin@math.rutgers.edu
Marko Djordjevic
Affiliation:
Uppsala University, Department of Mathematics, Box 480, 75106 Uppsala., Sweden, E-mail: marko@math.uu.se
Ehud Hrushovskj
Affiliation:
The Hebrew University of Jerusalem, Einstein Institute of Mathematics, Givat Ram. Jerusalem, 91904., Israel, E-mail: ehud@math.huji.ac.il
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Abstract

Orthogonality between two stably embedded definable sets is preserved under the addition of constants.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 70 , Issue 4 , December 2005 , pp. 1359 - 1364
Copyright
Copyright © Association for Symbolic Logic 2005

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References

REFERENCES

[1]Chatzidakis, Z. and Hrushovski, E., Model theory of difference fields, Transactions of the American Mathematical Society, vol. 351 (1999), no. 8, pp. 2997–3071.CrossRefGoogle Scholar
[2]Cherlin, G. and Hrushovski, E., Finite Structures with Few Types. Annals of Mathematics Studies, vol. 152, Princeton University Press, Princeton and Oxford, 2003.Google Scholar
[3]Hrushovski, E., Quasi-finite structures. Proceedings of the NATO Advanced Study Institute on “Finite and infinite Combinatorics in Sets and Logic”, (Banff'91) (Sauer, N., Woodrow, R., and Sands, B., editors), NATO ASI Series C, vol. 411, Kluwer, Dordrecht, 1993, pp. 117–124.Google Scholar
[4]Hrushovski, E., Computing the Galois group of a linear differential equation. Differential Galois Theory, Banach Center Publications, vol. 58, Institute of Mathematics, Polish Academy of Sciences, Warszawa, 2002, pp. 97–138.CrossRefGoogle Scholar
[5]Kegel, O. and Shi, W., On the orders of elements of a locally finite simple group, Comptes Rendus Mathématiques de l' Académie des Sciences, La Société Royale du Canada, vol. 13 (1991), no. 6, pp. 253–254.Google Scholar
[6]Marker, D., Model Theory: An Introduction, Graduate Texts in Mathematics, vol. 217, Springer. New York, 2002, 342 pages.Google Scholar
[7]Poizat, B., Une théorie de Galois imaginaire, this Journal, vol. 48 (1983), pp. 1151–1170.Google Scholar
[8]Shelah, S., Classification theory and the number of nonisomorphic models. 2nd ed., Studies in Logic and the Foundations of Mathematics, vol. 92, North-Holland Publishing, Amsterdam, 1990.Google Scholar
[9]Thomas, S., The classification of the simple periodic linear groups, Archiv der Mathematik, vol. 41 (1983), no. 2, pp. 103–116.CrossRefGoogle Scholar