Stratifications and mappings

J. N. Mather

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 5

Bibliographie

[1] V. I. Arnold, “Osobennosti gladkikh otobrazhenii”, UMN, 23:1 (1968), 3–44

[2] T. Bloom, “$C^1$ functions on a Complex Analytic Variety”, Duke Math. J., 36 (1969), 283–296 | DOI | MR | Zbl

[3] Dzh. M. Bordman, “Osobennosti differentsiruemykh otobrazhenii”, Osobennosti differentsiruemykh otobrazhenii, «Mir», M., 1968, 102–152 | MR

[4] H. Cartan, “Structural stability of differentiable mappings”, Proc. Internat. Conf. on Functional Analisis and Related Topics (Tokyo, 1969), Univ. of Tokyo Press, Tokyo, 1970, 1–10 | MR

[5] Lojasiewicz, Ensembles semi-analytiques, preprint, I.H.E.S.

[6] Malgrange, “Sur les Fonctions differentiables et les ensembles analytiques”, Bull. Soc. Math. Fr., 91 (1963), 113–127 | MR | Zbl

[7] J. N. Mather, “Stability of $C^\infty$ mappings, I”, Ann. of Math., 87 (1968), 89–104 ; Osobennosti differentsiruemykh otobrazhenii, «Mir», M., 1968, 198–215 ; “Stability of $C^\infty$ mappings, II”, Ann. of Math., 89 (1969), 254–291 ; Osobennosti differentsiruemykh otobrazhenii, «Mir», M., 1968, 216–267 ; “Stability of $C^\infty$ mappings, III”, Inst. Hautes Etudes Sci., Publ. Math., 35 (1969), 127–156 ; Matematika. Sb. perevod, 14:1 (1970), 145–175 ; “Stability of $C^\infty$ mappings, IV”, Inst. Hautes Etudes Sci., Publ. Math., 37 (1970), 223–248 ; “Stability of $C^\infty$ mappings. V; VI”, Advances in Math., 4 (1970), 301–335 ; Proc. of the Liverpool Singularities Symposium, 1, Lecture note series, 192, Springer, 1971, 207–253 | DOI | MR | Zbl | MR | DOI | MR | Zbl | MR | DOI | MR | Zbl | DOI | DOI | MR | MR

[8] J. N. Mather, “Stable Map-germs and algebraic geometry”, Manifolds, Lecture note series, 197, Springer, Amsterdam, 1971, 176–193 ; UMN, 27:5 (1972), 69–84 | MR | MR | Zbl

[9] J. N. Mather, “Some non-finitely determined map-germs”, Instituto Naz. di Alta Matem., Symposia Matem., V. 2, Academic Press, New York, 1969, 303–320 | MR

[10] J. N. Mather, Notes on topological stability, preprint, Harvard

[11] B. Moren, “Kanonicheskie formy osobennostei differentsiruemogo otobrazheniya”, Osobennosti differentsiruemykh otobrazhenii, 1968, 153–163 | MR

[12] D. Sullivan, “Combinatorial invariants of analitic sets”, Proc. of Liverpool Singularities Symposium, 1, Lecture notes series, 192, Springer, 1971, 165–168 | MR

[13] R. Thom, “Les singularites des applications differentiables”, Ann. Inst. Fourier, Grenoble, 6 (1955–56), 43–87 | MR

[14] R. Tom, G. Levin, “Osobennosti differentsiruemykh otobrazhenii”, Osobennosti differentsiruemykh otobrazhenii, «Mir», M., 1968, 9–101 | MR

[15] R. Tom, “Lokalnye topologicheskie svoistva differentsiruemykh otobrazhenii”, Osobennosti differentsiruemykh otobrazhenii, «Mir», M., 1968, 164–178 | MR

[16] R. Thom, “Ensembles et morphismes stratifies”, Bull. Amer. Math. Soc., 75 (1969), 240–284 | DOI | MR | Zbl

[17] R. Thom, “The bifurcation subset of a space of maps”, Manifolds (Amsterdam, 1970), Lecture notes series, 197, Springer, 1971, 202–208 ; UMN, 27:5 (1972), 51–57 | MR | MR | Zbl

[18] R. Thom, “Proprietes differentiables locales des ensembles analytiques”, Seminaire Bourbaki, no. 281, 1964/1965

[19] H. Whitney, “Tangents to an analytic varieties”, Ann. of Math., 81:3 (1964), 496–549 | DOI | MR

[20] H. Whitney, “Local Properties of analytic varieties”, Differentiable and Combinatorial Topology, Princeton University Press, 1965 | MR | Zbl

[21] H. Whitney, “Singularities of mappings of Euclidean spaces”, Symposium Internacional de Topologia Algebraica, Universidad Nacional Autonoma de Mexico and UNESCO, Mexico City, 1958, 285–301 | MR

[22] H. Whitney, “On singularities of mappings of Euclidean spaces. I: Mappings of the plane into the plane”, Ann. of Math., 62 (1955), 374–410 | DOI | MR | Zbl

[23] O. Zariski, “Some open questions in the theory of singularities”, Bull. AMS, 77 (1971), 481–491 ; UMN, 27:5 (1972), 59–68 | DOI | MR | Zbl | MR | Zbl

[24] C. Chevalley, Fondements de la geometrie algebrique, Secretariat Mathematique, Paris, 1958, 222 (Mimeographed) | MR