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References
Aitken, A.C. Note on dual symmetric functions. Proc. Edinburgh Math. Soc. (2) 2 (1931), 164–167.
Atiyah, M.F. Analytic cycles on complex manifolds. Topology 1 (1962).
Borel, A. et Haefliger, A. La classe d'homologie fondamentale d'un espace analytique. Bull. Soc. Math. France 89 (1961) 461–513.
Cartan, H. Quelque questions de topologie. Seminaire E.N.S. (1956–57). [Exposé 7: Haefliger, A. Les singularités des applications différentiables. Exposé 8: Haefliger, A. et Kosinski, A. Un théorème de Thom sur les singularites des applications différentiables.]
Chern, S. On the multiplication in the characteristic ring of a sphere bundle. Ann. Math. (2) 49 (1948), 362–372.
Dieudonné, J. Foundations of Modern Analysis. Academic Press New York 1960.
Ehresmann, C. Les prolongements d'une variété différentiable: I. Calcul des jets, prolongement principal. II. L'espace des jets d'ordre r de Vn dans Vm. C.r. Acad. Sci. (Paris) 233 (1951), 598–600 et 777–779.
Grothendieck, A. La théorie des classes de Chern. Bull. Soc. Math. France 86 (1958), 137–154.
Levine, H.I. Singularities of differentiable mappings. This volume., pp.1–89.
Porteous, I.R. Blowing up Chern classes. Proc. Camb. Phil. Soc. 56 (1960), 118–124.
Thom, R. Les ensembles singuliers d'une application différentiable et leurs propriétés homologiques. Séminaire de Topologie de Strasbourg, Dec, 1957.
Todd, J.A. Canonical systems on algebraic varieties. Bol. Soc. Mat. Mexicana (2) 2 (1957), 26–44.
Whitney, H. Singularities of mappings of Euclidean spaces. Symposium Internacional de Topologica Algebrica, Mexico (1958), 285–301.
Boardman, J.M. Singularities of differentiable maps. Publ. Math. I.H.E.S. 33 (1967), 21–57.
Porteous, I.R. Normal singularities of submanifolds. To appear in J. Diff. Geom.
Porteous, I.R. Todd's canonical classes. This volume.,pp.308–312.
Ronga, F. La calcul des classes duales aux singularités de Boardman d'ordre 2. A paraître dans les Commentarii Mathematici Helvetici.
Todd, J.A. Invariant and covariant systems on an algebraic variety. Proc. Lond. Math. Soc. (2) 46 (1940), 199–230.
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Porteous, I.R. (1971). Simple singularities of maps. In: Wall, C. (eds) Proceedings of Liverpool Singularities — Symposium I. Lecture Notes in Mathematics, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066829
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DOI: https://doi.org/10.1007/BFb0066829
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