Decomposition into special cubes and its applications to quasi-subanalytic geometry
Volume 96 / 2009
Annales Polonici Mathematici 96 (2009), 65-74
MSC: Primary 14P15, 32B20, 26E10; Secondary 32S45, 03C64.
DOI: 10.4064/ap96-1-6
Abstract
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.