References
Arnold, V.I.: Spectral sequence for reduction of functions to normal form. Funct. Anal. and Appl.9, 251–253 (1975)
Arnold, V.I.: Local normal forms of functions. Invent. Math.35, 87–109 (1976)
Arnold, V.I.: Index of a singular point of a vector field, the Petrovski-Oleinik inequality, and mixed hodge structures. Funct. Anal. and Appl.12, 1–11 (1978)
Briançon, J., Speder, J.P.: La trivialite topologigue n'implique pas les conditions de Whitney. Comp. Rendust 280, (series A) 365 (1975)
Damon, J.: Finite determinacy and topological triviality I. Invent. Math.62, pp. 299–324 (1980)
Damon, J., Gaffney, T.: Topological triviality of deformations of functions and newton filtrations. preliminary announcement
King, H.: Topological type in families of singularities. Invent. Math.62, 1–13 (1980)
Kouchnirenko, A.G.: Polyedres de Newton et Nombres de Milnor. Invent. Math.32, 1–31 (1976)
Laufer, H.: On minimally elliptic singularities. Amer. Jour. Math.99, 1257–1295 (1977)
Lê Dũng Tráng, Ramanujam, C.P.: The invariance of Milnor's number implies the invariance of topological type. Amer. Jour. Math.98, 67–78 (1976)
Looijenga, E.: Semi-universal deformation of a simple elliptic singularity: Part I unimodularity. Topology16, 257–262 (1977)
Oka, M.: On the bifurcation of the multiplicity and topology of the newton boundary. J. Math. Soc. Japan31, 435–450 (1979)
Teissier, B.: Cycles evanescents, sections planes, et conditions de Whitney. Singularities a Cargese. Asterisque7 and8, 285–362 (1973)
Timourian, J.G.: Invariance of Milnor's number implies topological triviality. Amer. Jour. Math.99, 437–446 (1977)
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Partially supported by grants from the National Science Foundation and the British Science Research Council
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Damon, J., Gaffney, T. Topological triviality of deformations of functions and Newton filtrations. Invent Math 72, 335–358 (1983). https://doi.org/10.1007/BF01398391
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DOI: https://doi.org/10.1007/BF01398391