Decomposition into special cubes and its applications to quasi-subanalytic geometry

• Autorzy: Krzysztof Jan Nowak
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this paper is to present a natural method of decomposition into special cubes and to demonstrate how it makes it possible to efficiently achieve many well-known fundamental results from quasianalytic geometry as, for instance, Gabrielov's complement theorem, o-minimality or quasianalytic cell decomposition.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 14P15: Real analytic and semianalytic sets
• 03C64: Model theory of ordered structures; o-minimality
• 32S45: Modifications; resolution of singularities
• 26E10: C ∞ -functions, quasi-analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 1
• Strony: 65-74

Daty

wydano

2009

Twórcy

autor

Krzysztof Jan Nowak

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap96-1-6