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References
M. Golubitsky & V. Guillemin, Stable Mappings and their singularities, Grad. Texts in Math., 14, Springer Verlag, New York, 1974.
H. I. Levine, Singularities of differentiable mappings. Liverpool Symp. on Singularities, (Springer Lecture Notes 192 (1971)) 1–89.
B. Malgrange, Ideals of differentiable functions, (Oxford Univ. Press., 1966).
J. N. Mather, Stability of C∞ mappings I: The division theorem, Annals of Math. 87 (1968), 89–104.
J. N. Mather, Stability of C∞ mappings III: Finitely determined map-germs, Publ. math. I.H.E.S. 35 (1968), 127–156.
J. N. Mather, Right Equivalence (Warwick preprint, 1969).
J. N. Mather, On Nirenberg’s proof of Malgrange’s preparation theorem, Liverpool Symp. on Singularities (Springer Lecture Notes 192, (1971) 116–120.
L. Nirenberg, A proof of the Malgrange preparation theorem, Liverpool Symp. on Singularities (Springer Lecture Notes 192 (1971), 97–105.
R. Thom, Les singularités des applications differentiables, Ann. Inst. Fourier (Grenoble) (1956), 17–86.
R. Thom, Stabilité structurelle et morphogénèse, Benjamin, (1972).
H. Whitney, Mappings of the plane into the plane, Annals of Math. 62 (1955), 374–470.
E. C. Zeeman, Applications of catastrophe theory, Tokyo Int. Conf. on Manifolds, April 1973.
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© 1976 Springer-Verlag
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Zeeman, C. (1976). The classification of elementary catastrophes of codimension ≤ 5. In: Hilton, P. (eds) Structural Stability, the Theory of Catastrophes, and Applications in the Sciences. Lecture Notes in Mathematics, vol 525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077853
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DOI: https://doi.org/10.1007/BFb0077853
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