Affine Nash groups over real closed fields
Confluentes Mathematici, Tome 3 (2011) no. 4, pp. 577-585.
Publié le :
DOI : 10.1142/S179374421100045X 
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Hrushovski, Ehud; Pillay, Anand. Affine Nash groups over real closed fields. Confluentes Mathematici, Tome 3 (2011) no. 4, pp. 577-585. doi : 10.1142/S179374421100045X. http://www.numdam.org/articles/10.1142/S179374421100045X/

[1] M. Artin and B. Mazur, On periodic points, Ann. Math. 81 (1965) 82–99.

[2] J. Bochnak, M. Coste and M.-F. Roy, Real Algebraic Geometry (Springer, 1998).

[3] A. Conversano and A. Pillay, Connected components of definable groups and o-minimality I, preprint 2011. http://www.maths.leeds.ac.uk/∼pillay/

[4] L. van den Dries, Tame Topology and o-Minimal Structures, LMS Lecture Note Series, Vol. 248 (Cambridge Univ. Press, 1998).

[5] E. Hrushovski and A. Pillay, Groups definable in local fields and pseudofinite fields, Israel J. Math. 85 (1994) 203–262.

[6] A. Pillay, On groups and fields definable in o-minimal structures, J. Pure Appl. Alg. 53 (1988) 239–255.

[7] M. Shiota, Nash Manifolds, Lecture Notes in Mathematics, Vol. 1269 (Springer, 1987).

[8] V. S. Varadarajan, Lie Groups, Lie Algebras, and Their Representations (Prentice-Hall, 1974).

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