The Łojasiewicz exponent of subanalytic sets

Stanisław Spodzieja

Annales Polonici Mathematici (2005)

  • Volume: 87, Issue: 1, page 247-263
  • ISSN: 0066-2216

Abstract

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We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic curves.

How to cite

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Stanisław Spodzieja. "The Łojasiewicz exponent of subanalytic sets." Annales Polonici Mathematici 87.1 (2005): 247-263. <http://eudml.org/doc/280637>.

@article{StanisławSpodzieja2005,
abstract = {We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic curves.},
author = {Stanisław Spodzieja},
journal = {Annales Polonici Mathematici},
keywords = {subanalytic set; Lojasiewicz inequality; Lojasiewicz exponent},
language = {eng},
number = {1},
pages = {247-263},
title = {The Łojasiewicz exponent of subanalytic sets},
url = {http://eudml.org/doc/280637},
volume = {87},
year = {2005},
}

TY - JOUR
AU - Stanisław Spodzieja
TI - The Łojasiewicz exponent of subanalytic sets
JO - Annales Polonici Mathematici
PY - 2005
VL - 87
IS - 1
SP - 247
EP - 263
AB - We prove that the infimum of the regular separation exponents of two subanalytic sets at a point is a rational number, and it is also a regular separation exponent of these sets. Moreover, we consider the problem of attainment of this exponent on analytic curves.
LA - eng
KW - subanalytic set; Lojasiewicz inequality; Lojasiewicz exponent
UR - http://eudml.org/doc/280637
ER -

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