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 -bi-Lipschitz equivalence of real function-germs
Authors:
L. Birbrair, J. C. F. Costa, A. Fernandes and M. A. S. Ruas
Journal:
Proc. Amer. Math. Soc. 135 (2007), 1089-1095
MSC (2000):
Primary 32S15, 32S05
Published electronically:
October 27, 2006
MathSciNet review:
2262910
Full-text PDF Free Access
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Additional Information
Abstract: In this paper we prove that the set of equivalence classes of germs of real polynomials of degree less than or equal to  , with respect to  -bi-Lipschitz equivalence, is finite.
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Additional Information
L. Birbrair
Affiliation:
Departamento de Matemàtica, Universidade Federal do Cearà, Av. Mister Hull s/u Campus do PICI, Bloco 914, CEP 60, 455-760 Fortaleza-CE, Brazil
J. C. F. Costa
Affiliation:
Departamento de Matemàtica (IBILCE), Universidade Estadual Paulista, Sao Jose de Rio Preto, SP 15054-000 Brazil
A. Fernandes
Affiliation:
Departamento de Matemàtica, Universidade Federal do Cearà, Av. Mister Hull s/u Campus do PICI, Bloco 914, CEP 60, 455-760 Fortaleza-CE, Brazil
M. A. S. Ruas
Affiliation:
Institute of Sciences and Mathematics, University of Sao Paulo, Sao Carlos SP, Brazil
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08566-2
PII:
S 0002-9939(06)08566-2
Received by editor(s):
May 14, 2005
Received by editor(s) in revised form:
November 4, 2005
Published electronically:
October 27, 2006
Additional Notes:
The first named author was supported by CNPq grant No. 300985/93-2.
The second named author was supported by Fapesp grant No. 01/14577-0.
The fourth named author was supported by CNPq grant No. 301474/2005-2.
Communicated by:
Mikhail Shubin
Article copyright:
© Copyright 2006 American Mathematical Society
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