no. 2
Singularities of envelopes of families of submanifolds in ℝ N
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 16 (1983) no. 2, pp. 173-192 
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     author = {Carneiro, M\'ario Jorge Dias},
     title = {Singularities of envelopes of families of submanifolds in $\mathbb {R}^N$},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {173--192},
     year = {1983},
     publisher = {Elsevier},
     volume = {Ser. 4, 16},
     number = {2},
     doi = {10.24033/asens.1445},
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     zbl = {0525.58008},
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     url = {https://www.numdam.org/articles/10.24033/asens.1445/}
}
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Carneiro, Mário Jorge Dias. Singularities of envelopes of families of submanifolds in $\mathbb {R}^N$. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 16 (1983) no. 2, pp. 173-192. doi: 10.24033/asens.1445

[1] V. I. Arnold, Wave Front Evolution and Equivariant Morse Lemma (Comm. on Pure and Applied Math., Vol. XXIX, 1976, pp. 557-582). | Zbl | MR

[2] W. Blaschke, Topological Questions of Differential Geometry (Mimmeographed Notes, University of Chicago 1932).

[3] W. Blaschke, Geometrie der Gewebe, Springer-Verlag, Balin, 1938. | Zbl | JFM

[4] G. E. Bredon, Introduction to Compact Transformation Group, Academic Press, 1972. | Zbl | MR

[5] V. G. Boltyanskii, Envelopes, Pergamon Press, Macmillan, New York, 1964. | Zbl | MR

[6] M. J. D. Carneiro, On the Envelope Theory (Thesis, Princeton University, 1980).

[7] S. Chern and P. Griffiths, Abel's Theorem and Webs, Jahusbericht der Deutschen Mathematiker Vereinigung, Vol. 80, 1978, pp. 13-110. | Zbl | MR

[8] J. P. Dufour, Diagrammes d'applications differentiables (Thèse, Université du Languedoc, 1979).

[9] J. P. Dufour, Sur la stabilité des diagrammes d'applications differentiables, (Ann. scient. Éc. Norm. Sup., 4e série, t. 10, 1977, pp. 153-174). | Zbl | MR | Numdam

[10] J. P. Dufour, Triplets de fonctions et stabilité des enveloppes, preprint, 1981. | MR

[11] G. Glaeser, Fonctions composées différentiables (Annals of Mathematics, Vol. 77, N° 1, January 1963, pp. 193-208). | Zbl | MR

[12] M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities, (G.T.M., Springer-Verlag, 1973). | Zbl | MR

[13] G. Julia, Cours de géometrie infinitesimal, Gauthier-Villars, Paris, 1953.

[14] J. N. Mather, Stability of C∞ Mappings II : Infinitesimal Stability Implies Stability (Ann. Math., Vol. 89, 1969, pp. 254-291). | Zbl | MR

[15] J. N. Mather, Stability of C∞ Mappings III : Finitely Determined Map Germs (I.H.E.S., Publications Mathematiques, No. 35, 1968). | Zbl | MR | Numdam

[16] V. Pœnaru, Singularities C∞ in Presence de Symmetrie, Springer-Verlag (Lecture Notes, Berlin, 1976).

[17] S. Sternberg, Local Cn Transformations of the Real Line (Duke Math. J., Vol. 24, 1957, pp. 97-112). | Zbl | MR

[18] R. Thom, Sur la theorie des enveloppes (J. Math. pure et appl. T. XLI, fasc. 2, 1962). | Zbl | MR

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