$\mathcal {K}$-bi-Lipschitz equivalence of real function-germs
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- by L. Birbrair, J. C. F. Costa, A. Fernandes and M. A. S. Ruas PDF
- Proc. Amer. Math. Soc. 135 (2007), 1089-1095 Request permission
Abstract:
In this paper we prove that the set of equivalence classes of germs of real polynomials of degree less than or equal to $k$, with respect to $\mathcal {K}$-bi-Lipschitz equivalence, is finite.References
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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
- MR Author ID: 676391
- M. A. S. Ruas
- Affiliation: Institute of Sciences and Mathematics, University of Sao Paulo, Sao Carlos SP, Brazil
- MR Author ID: 239264
- ORCID: 0000-0001-8890-524X
- 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
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1089-1095
- MSC (2000): Primary 32S15, 32S05
- DOI: https://doi.org/10.1090/S0002-9939-06-08566-2
- MathSciNet review: 2262910