Geodesic
Lipschitz classification of functions on a Hölder triangle
Algebra i analiz, Tome 20 (2008) no. 5, pp. 1-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of semialgebraic Lipschitz classification of quasihomogeneous polynomials on a Hölder triangle is studied. For this problem, the “moduli” are described completely in certain combinatorial terms.
Keywords: Lipschitz classification, quasihomogeneous polynomials
Mots-clés : Hölder triangle, moduli. 
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L. Birbrair; A. Fernandes; D. Panazzolo. Lipschitz classification of functions on a Hölder triangle. Algebra i analiz, Tome 20 (2008) no. 5, pp. 1-9. http://geodesic.mathdoc.fr/item/AA_2008_20_5_a0/

[1] Birbrair L., “Local bi-Lipschitz classification of 2-dimensional semialgebraic sets”, Houston J. Math., 25:3 (1999), 453–472 | MR | Zbl

[2] Benedetti R., Shiota M., “Finiteness of semialgebraic types of polynomial functions”, Math. Z., 208:4 (1991), 589–596 | DOI | MR | Zbl

[3] Birbrair L., Costa J., Fernandes A., Ruas M., “$\mathcal{K}$-bi-Lipschitz equivalence of real function-germs”, Proc. Amer. Math. Soc., 135:4 (2007), 1089–1095 | DOI | MR | Zbl

[4] Fukuda T., “Types topologiques des polynômes”, Inst. Hautes Études Sci. Publ. Math., 1976, no. 46, 87–106 | DOI | MR | Zbl

[5] Henry J.-P., Parusinski A., “Existence of moduli for bi-Lipschitz equivalence of analytic functions”, Compositio Math., 136:2 (2003), 217–235 | DOI | MR | Zbl

[6] Mostowski T., Lipschitz equisingularity, Dissertationes Math., 243, 1985, 46 pp. | MR | Zbl

[7] Valette G., “A bilipschitz version of Hardt's theorem”, C. R. Math. Acad. Sci. Paris, 340:12 (2005), 895–900 | MR | Zbl