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Finite determinacy and topological triviality I

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References

  1. Damon, J.: Finite Determinacy and Topological Triviality, preliminary announcement, preprint

  2. Damon, J.: Topological Stability in the Nice Dimensions, Topology,18, 129–142 (1979)

    Google Scholar 

  3. Gaffney, T.: Thesis, Brandeis University, 1975

  4. Gaffney, T.: On the Order of Determination of a Finitely Determined Germ, Invent. Math.37, 83–92 (1976)

    Google Scholar 

  5. Lê Dũng Tràng, Ramanujam, C.P.: The Invariance of Milnor's Number Implies the Invariance of Topological Type. Amer. J. Math.98, 67–78 (1976)

    Google Scholar 

  6. Looijenga, E.: Semi-Universal Deformation of a Simple Elliptic Singularity: Part 1-Unimodularity. Topology16, 257–262 (1977)

    Google Scholar 

  7. Mather, J.: Stability ofC ∞-Mappings. II. Infinitesimal Stability Implies Stability, Ann. of Math.89, 254–291 (1969); III. Finitely Determined Map Germs, Publ. Math., I.H.E.S.35, 127–156 (1968); IV. Classification of Stable Germs by ℝ-algebras, Publ. Math. I.H.E.S.37, 223–248 (1979); V. Transversality, Advances in Math.4, 301–336 (1970)

    Google Scholar 

  8. Mather, J.: Generic Projections, Ann. of Math.98, 226–245 (1973)

    Google Scholar 

  9. Mather, J.: Stratifications and Mappings, Dynamical Systems Conf., M. Peixoto, ed. pp. 195–232. (Salvador Brazil), New York-London: Academic Press, 1973

    Google Scholar 

  10. Martinet, J.: Deploiements Versels des Applications Differentiables et Classification des Applications Stables, Singularities d'Applications Differentiables, Plans-sur-Bex. Springer Lecture Notes 535, pp. 1–44, 1975

    Google Scholar 

  11. Pinkham, H.: Deformations of Algebraic Varieties withG m -action, Asterisque20, 1–131 (1974)

    Google Scholar 

  12. Teissier, B.: Cycles Evanescents, Sections Planes, et Conditions de Whitney, Singularities a Cargese, Asterisque7, 8 285–362 (1973)

    Google Scholar 

  13. Timourian, J.G.: Invariance of Milnor's Number Implies Topological Triviality, Amer J. Math.99, 437–446 (1977)

    Google Scholar 

  14. Tougeron, J.C.: Ideaux de Fonctions Differentiables, Ergebnisse der Math. Band 71 Heidelberg-New York: Springer-Verlag 1972

    Google Scholar 

  15. Wall, C.T.C.: Lectures onC ∞-stability and Classification, Liverpool Singularities Symposium, Springer Lecture Notes, 192, pp. 178–206 (1970)

    Google Scholar 

  16. Wirthmüller, K.: Universell Topologisch Triviale Deformationen, thesis, Univ. of Regensburg

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  1. Department of Mathematics, University of North Carolina at Chapel Hill, 27514, Chapel Hill, NC, USA

    James Damon

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  1. James Damon
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Partially supported by a grant from the National Science Foundation

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Damon, J. Finite determinacy and topological triviality I. Invent Math 62, 299–324 (1980). https://doi.org/10.1007/BF01389162

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