References
Malgrange, B.,Ideals of Differentiable Functions. Oxford University Press, Bombay, 1966.
Mather, J., Stability of C∞ mappings: II. Infinitesimal stability implies stability.Ann. of Math. (2) 89 (1969), 254–291.
—, Stability of C∞ mappings: III. Finitely determined map-germs.Publ. Math. IHES 35 (1968), 127–156.
Mather, J., unpublished notes on right equivalence.
Siersma, D., The singularities of C∞-functions of right-codimension smaller or equal than eight.Indag. Math., 35 (1973), 31–37.
Thom, R., Un lemme sur les applications différentiables.Bol. Soc. Mat. Mexicana, (2), 1 (1956), 59–71.
—,Stabilité Structurelle et Morphogénèse. W. A. Benjamin, Inc., Reading, Massachusetts, 1972.
Tougeron, J.-C., Idéaux de fonctions différentiables I.Ann. Inst. Fourier, 18 (1968), 177–240.
—,Idéaux de Fonctions Différentiables. Ergebnisse der Mathematik und ihrer Grenzgebiete, 71, Springer-Verlag, Berlin, 1972.
Wall, C. T. C., ed.,Proceedings of Liverpool singularities-Symposium I. Springer Lecture Notes in Mathematics 192, Springer-Verlag, Berlin, 1971.
Wassermann, G.,Stability of Unfoldings. Springer Lecture Notes in Mathematics 393. Springer-Verlag, Berlin, 1974.
Woodcock, A. E. R. &Poston, T.,A Geometrical Study of the Elementary Catastrophes. Springer Lecture Notes in Mathematics 373, Springer-Verlag, Berlin, 1974.
Baas, N., Structural stability of composed mappings. Preprint, Institute for Advanced Study Princeton 1974 (to appear).
Latour, F., Stabilité des champs d'applications différentiables; généralisation d'un théoréme de J. Mather.C. R. Acad. Sci. Paris Sér. A, 268 (1969), 1331–1334.
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The title of this paper before publication was “(r, 8)-Stability of Unfoldings”.
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Wassermann, G. Stability of unfoldings in space and time. Acta Math. 135, 57–128 (1975). https://doi.org/10.1007/BF02392016
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DOI: https://doi.org/10.1007/BF02392016