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Bulletin of the American Mathematical Society

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Versal unfoldings of $G$-invariant functions


Author: V. Poénaru
Journal: Bull. Amer. Math. Soc. 82 (1976), 86-88
MSC (1970): Primary 58C25
MathSciNet review: 0426031
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  • 1. E. Bierstone, Smooth functions invariant under the action of a finite group (to appear).
  • 2. Jean A. Dieudonné and James B. Carrell, Invariant theory, old and new, Advances in Math. 4 (1970), 1–80 (1970). MR 0255525
  • 3. G. Lassalle, (to appear).
  • 4. B. Malgrange, Ideals of differentiable functions, Tata Institute of Fundamental Research Studies in Mathematics, No. 3, Tata Institute of Fundamental Research, Bombay; Oxford University Press, London, 1967. MR 0212575
  • 5. J. Mather, Right equivalence (to appear).
  • 6. J. Mather, Stability of C. I-IV, Ann. of Math. (2) 87 (1968), 89-104; Ann. of Math. (2) 89 (1969), 254-291; Inst. Hautes Études Sci. Publ. Math. No. 35 (1968), 279-308; Inst. Hautes Études Sci. Publ. Math. No. 37 (1969), 223-248. MR 38 #726; 41 #4582; 43 #1215a, b.
  • 7. V. Poénaru, Déploiement des fonctions G-invariantes (to appear).
  • 8. Valentin Poénaru, Un théorème des fonctions implicites pour les espaces d’applications 𝐶^{∞}, Inst. Hautes Études Sci. Publ. Math. 38 (1970), 93–124 (French). MR 0474375
  • 9. Gerald W. Schwarz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975), 63–68. MR 0370643
  • 10. F. Sergeraert, Un théorème des fonctions implicites, Ann. Sci. École Norm. Sup. (1972), 559-660.
  • 11. René Thom, Stabilité structurelle et morphogénèse, W. A. Benjamin, Inc., Reading, Mass., 1972 (French). Essai d’une théorie générale des modèles; Mathematical Physics Monograph Series. MR 0488155
  • 12. René Thom, La théorie des catastrophes: état présent et perspectives, Manifold 14 (1973), 16–23 (French). Report on catastrophes, Part I. MR 0488122
  • 13. Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. MR 1488158
  • 14. V. M. Zakaljukin, A theorem on versality, Funkcional. Anal. i Priložen. 7 (1973), no. 2, 28–31 (Russian). MR 0321137
  • 15. Georges Glaeser, Fonctions composées différentiables, Ann. of Math. (2) 77 (1963), 193–209 (French). MR 0143058
  • 16. René Thom, Modèles mathématiques de la morphogénèse, Accademia Nazionale dei Lincei; Scuola Normale Superiore de Pisa, Pisa, 1971 (French). Lezioni Fermiane, Classe di Scienze. MR 0467804

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DOI: https://doi.org/10.1090/S0002-9904-1976-13970-5