On semialgebraic points of definable sets

• Autorzy: Artur Piękosz
• Języki publikacji: EN

Abstrakty

EN

We prove that the semialgebraic, algebraic, and algebraic nonsingular points of a definable set in o-minimal structure with analytic cell decomposition are definable. Moreover, the operation of taking semialgebraic points is idempotent and the degree of complexity of semialgebraic points is bounded.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 44
• Numer: 1
• Strony: 189-193

Daty

wydano

1998

Twórcy

autor

Artur Piękosz

• Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

Bibliografia

• [1] J. Bochnak, M. Coste, M.-F. Roy, Géométrie algébrique réelle, Ergeb. Math. Grenzgeb. (3) 12, Springer, Berlin, 1987.
• [2] L. van den Dries, C. Miller, Geometric categories and o-minimal structures, Duke Math. J. 84 (1996), 497-540.
• [3] S. Łojasiewicz, Ensembles semi-analytiques, Inst. de Hautes Études Scientifiques, Bures-sur-Yvette, 1965.