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Introduction

Part of the Lecture Notes in Mathematics book series (LNM,volume 552)

Keywords

  • Smooth Family
  • Regularity Lemma
  • Finite Partition
  • Topological Stability
  • Whitney Stratification

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References cited in the introduction

  1. A. Chenciner, Travaux de Thom et Mather sur la stabilité topologique. Sém. Bôurbaki, Février 1973, no. 424. (Springer Lecture Note 383)

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  2. S. Łojasiewicz, Ensembles semi-analytiques, available at IHES (1965).

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  3. Stability of C-mappings I–VI, Ann. of Math. 87 p. 89–104, Ann. of Math. 89 p. 254–291, Publ. Math. IHES 35 p. 127–156, Publ. Math. IHES 37 p.223–248, Adv. in Math. 4 p.301–366, Proc. Liverpool Symp. I (Springer Lecture Note 192) p.207–253.

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  4. Harvard notes on topological stability (1970).

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  5. 'stratifications and Mappings’ in Dynamical Systems, M.M. Peixoto (ed.) p.195–223, Academic Press (1973).

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  6. R. Thom, La stabilité topologique des applications polynomiales, L'Enseignement Math. 8 p. 24–33 (1962).

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  7. 'Local topological properties of differentiable mappings’ in Differential Analysis, p.191–202, Oxford U.P. (1964).

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  8. Ensembles et Morphismes Stratifiés, Bull. Amer. Math. Soc. 75, p.240–284 (1969).

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  9. 'The bifurcation subset of a space of maps’ in Manifolds-Amsterdam 1970 (Springer Lecture Note 197) p.202–208.

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  10. R. Thom and H. Levine, 'singularities of differential cappings’ reprinted in Proc. Liverpool Symp. I (Springer Lecture Note 192) p.1–89.

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  11. A.N. Varchenko, Algebro-Geometrical Equisingularity and Local Topological Classification of Smooth Mappings, Proc. of the Int. Congress of Math. Vancouver, 1974, p.427–431.

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  12. H. Whitney, On singularities of mappings of Eudlidean spaces I, Mappings of the plane into the plane, Ann. of Math. 62, p. 374–410 (1955).

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  13. Tangents to an analytic variety, Ann. of Math. 81, p.469–549 (1965).

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© 1976 Springer-Verlag

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Gibson, C.G., Wirthmüller, K., du Plessis, A.A., Looijenga, E.J.N. (1976). Introduction. In: Topological Stability of Smooth Mappings. Lecture Notes in Mathematics, vol 552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095245

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  • DOI: https://doi.org/10.1007/BFb0095245

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07997-2

  • Online ISBN: 978-3-540-37957-7

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