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

Krzysztof Jan Nowak

Annales Polonici Mathematici (2009)

  • Volume: 96, Issue: 1, page 65-74
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Krzysztof Jan Nowak. "Decomposition into special cubes and its applications to quasi-subanalytic geometry." Annales Polonici Mathematici 96.1 (2009): 65-74. <http://eudml.org/doc/280264>.

@article{KrzysztofJanNowak2009,
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.},
author = {Krzysztof Jan Nowak},
journal = {Annales Polonici Mathematici},
keywords = {quasianalytic functions; transformation to normal crossings; special cubes; immersion cubes; quasi-subanalytic sets; quasianalytic cells},
language = {eng},
number = {1},
pages = {65-74},
title = {Decomposition into special cubes and its applications to quasi-subanalytic geometry},
url = {http://eudml.org/doc/280264},
volume = {96},
year = {2009},
}

TY - JOUR
AU - Krzysztof Jan Nowak
TI - Decomposition into special cubes and its applications to quasi-subanalytic geometry
JO - Annales Polonici Mathematici
PY - 2009
VL - 96
IS - 1
SP - 65
EP - 74
AB - 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.
LA - eng
KW - quasianalytic functions; transformation to normal crossings; special cubes; immersion cubes; quasi-subanalytic sets; quasianalytic cells
UR - http://eudml.org/doc/280264
ER -

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