@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}, publisher = {Soci\'et\'e math\'ematique de France}, number = {326}, year = {2009}, mrnumber = {2605320}, zbl = {1197.03043}, language = {en}, url = {http://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 - http://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. http://www.numdam.org/item/AST_2009__326__131_0/
[1] -adic and real subanalytic sets", Ann. of Math. 128 (1988), p. 79-138. | DOI | MR | Zbl
& - "[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. | DOI | MR | Zbl
- "[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. | DOI | MR | Zbl
, & - "[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. | MR | Zbl
- "[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. | DOI | MR | Zbl
& - "[10] Quasianalytic Denjoy-Carleman classes and o-minimality", J. Amer. Math. Soc. 16 (2003), p. 751-777. | DOI | MR | Zbl
, & - "[11] Characteristic cycles of constructible sheaves", Invent Math. 124 (1996), p. 451-502. | DOI | MR | Zbl
& - "[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. | DOI | MR | Zbl
- "