Łojasiewicz inequalities for sets definable in the structure ℝ exp

Ta Lê Loi

Annales de l'institut Fourier (1995)

  • Volume: 45, Issue: 4, page 951-971
  • ISSN: 0373-0956

Abstract

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We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.

How to cite

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Ta Lê Loi. "Łojasiewicz inequalities for sets definable in the structure ${\mathbb {R}}_{{\rm exp}}$." Annales de l'institut Fourier 45.4 (1995): 951-971. <http://eudml.org/doc/75152>.

@article{TaLêLoi1995,
abstract = {We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.},
author = {Ta Lê Loi},
journal = {Annales de l'institut Fourier},
keywords = {Łojasiewicz inequalities; Łojasiewicz exponents},
language = {eng},
number = {4},
pages = {951-971},
publisher = {Association des Annales de l'Institut Fourier},
title = {Łojasiewicz inequalities for sets definable in the structure $\{\mathbb \{R\}\}_\{\{\rm exp\}\}$},
url = {http://eudml.org/doc/75152},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Ta Lê Loi
TI - Łojasiewicz inequalities for sets definable in the structure ${\mathbb {R}}_{{\rm exp}}$
JO - Annales de l'institut Fourier
PY - 1995
PB - Association des Annales de l'Institut Fourier
VL - 45
IS - 4
SP - 951
EP - 971
AB - We consider some variants of Łojasiewicz inequalities for the class of subsets of Euclidean spaces definable from addition, multiplication and exponentiation : Łojasiewicz-type inequalities, global Łojasiewicz inequalities with or without parameters. The rationality of Łojasiewicz’s exponents for this class is also proved.
LA - eng
KW - Łojasiewicz inequalities; Łojasiewicz exponents
UR - http://eudml.org/doc/75152
ER -

References

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