@incollection{AST_2009__326__131_0,
author = {Wilkie, Alex J.},
title = {O-minimal structures},
booktitle = {S\'eminaire Bourbaki Volume 2007/2008 Expos\'es 982-996},
series = {Ast\'erisque},
note = {talk:985},
pages = {131--142},
year = {2009},
publisher = {Soci\'et\'e math\'ematique de France},
number = {326},
mrnumber = {2605320},
zbl = {1197.03043},
language = {en},
url = {https://www.numdam.org/item/AST_2009__326__131_0/}
}
TY - CHAP AU - Wilkie, Alex J. TI - O-minimal structures BT - Séminaire Bourbaki Volume 2007/2008 Exposés 982-996 AU - Collectif T3 - Astérisque N1 - talk:985 PY - 2009 SP - 131 EP - 142 IS - 326 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_2009__326__131_0/ LA - en ID - AST_2009__326__131_0 ER -
Wilkie, Alex J. O-minimal structures, dans Séminaire Bourbaki Volume 2007/2008 Exposés 982-996, Astérisque, no. 326 (2009), Exposé no. 985, 12 p.. https://www.numdam.org/item/AST_2009__326__131_0/
[1] & - "-adic and real subanalytic sets", Ann. of Math. 128 (1988), p. 79-138. | MR | Zbl | DOI
[2] - "Remarks on Tarski's problem concerning ", in Logic colloquium '82 (Florence, 1982), Stud. Logic Found. Math., vol. 112, North-Holland, 1984, p. 97-121. | MR | Zbl | DOI
[3] - Tame topology and o-minimal structures, London Math. Soc. Lecture Note Series, vol. 248, Cambridge Univ. Press, 1998. | MR | Zbl
[4] , & - "The elementary theory of restricted analytic fields with exponentiation", Ann. of Math. 140 (1994), p. 183-205. | MR | Zbl | DOI
[5] - "Projections of semianalytic sets", Funkcional. Anal, i Priložen. 2 (1968), p. 18-30. | MR | Zbl
[6] - "Esquisse d'un programme", notes, 1984. | Zbl
[7] - "On a class of systems of transcendental equations", Soviet Math. Doklady 22 (1980), p. 762-765. | Zbl | MR
[8] & - "On the decidability of the real exponential field", in Kreiseliana, A K Peters, 1996, p. 441-467. | MR | Zbl
[9] & - "Definable sets in ordered structures. I", Trans. Amer. Math. Soc. 295 (1986), p. 565-592. | MR | Zbl | DOI
[10] , & - "Quasianalytic Denjoy-Carleman classes and o-minimality", J. Amer. Math. Soc. 16 (2003), p. 751-777. | MR | Zbl | DOI
[11] & - "Characteristic cycles of constructible sheaves", Invent Math. 124 (1996), p. 451-502. | MR | Zbl | DOI
[12] - A decision method for elementary algebra and geometry, second ed., Rand Corporation, 1951. | Zbl
[13] - "Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function", J. Amer. Math. Soc. 9 (1996), p. 1051-1094. | MR | Zbl | DOI







