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

Volume 96 / 2009

Krzysztof Jan Nowak Annales Polonici Mathematici 96 (2009), 65-74 MSC: Primary 14P15, 32B20, 26E10; Secondary 32S45, 03C64. DOI: 10.4064/ap96-1-6


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.


  • Krzysztof Jan NowakInstitute of Mathematics
    Jagiellonian University
    /Lojasiewicza 6
    30-348 Kraków, Poland

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