A Note on a Theorem of Lion

• Autorzy: Ambroży Z.

Identyfikatory

DOI

10.4064/ba61-1-1

• Języki publikacji: EN

Abstrakty

EN

In this note we bind together Wilkie's complement theorem with Lion's theorem on geometric, regular and 0-regular families of functions.

Słowa kluczowe

EN

o-minimal structure; Wilkie’s theorem; geometric family

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 1
• Strony: 1--7
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Ambroży Z.

• Institute of Mathematics Polish Academy of Sciences 00-956 Warszawa, Poland

Bibliografia

• [BCR] J. Bochnak, M. Coste and M.-F. Roy, Real Algebraic Geometry, Springer, Berlin, 1998.
• [KM] M. Karpinski and A. Macintyre, A generalization of Wilkie’s theorem of the complement, and an application to Pfaffian closure, Selecta Math. (N.S.) 5 (1999), 507–516.
• [L] J.-M. Lion, Finitude simple et structures o-minimales, J. Symbolic Logic 67 (2002), 1616–1622.
• [W] A. J. Wilkie, A theorem of the complement and some new o-minimal structures, Selecta Math. (N.S.) 5 (1999), 397–421.