On the elimination of Morin singularities

Yoshifumi ANDO

doi:10.2969/jmsj/03730471

Yoshifumi ANDO

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JOURNAL FREE ACCESS

1985 Volume 37 Issue 3 Pages 471-487

DOI https://doi.org/10.2969/jmsj/03730471

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Published: 1985 Received: June 18, 1984 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) Y. Ando, On the elimination of certain Thom-Boardman singularities of order two, J. Math. Soc. Japan, 34 (1982), 241-268.
2) J. M. Boardman, Singularities of differentiable maps, IHES Publ. Math., 33 (1967), 21-57.
3) J. Damon, Thom polynomials for contact class singularities, thesis, Harvard Univ., 1972.
4) A. A. du Plessis, Maps without certain singularities, Comment. Math. Helv., 50 (1975), 363-382.
5) J. M. Eliasberg, On singularities of folding types, Math. USSR-Izv., 4 (1970), 1119-1134.
6) J. M. Eliasberg, Surgery of singularities of smooth mappings, Math. USSR-Izv., 6 (1972), 1302-1326.
7) T. Gaffney, The Thom polynomial of ∑^1,1,1,1, Singularities, Proc. Sympos. Pure Math., Vol. 40, Part I, Amer. Math. Soc., 1983, 399-408.
8) M. L. Gromov, Stable mappings of foliations into manifolds, Math. USSR-Izv., 3 (1969), 671-694.
9) M. W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc., 93 (1959), 242-276.
10) A. Haefliger and A. Kosinski, Un théorème de Thom sur les singularités des applicationsdifférentiables, Séminaire H. Cartan E. N. S., 1956/57, Exposé N° 8.
11) A. Lascoux, Calcul de certains polynômes de Thom, C. R. Acad. Sci. Paris, 278 (1974), 889-891.
12) H. I. Levin, Elimination of cusps, Topology, 3 (1965), 263-296.
13) S. Lojasiewicz, Triangulation of semianalytic sets, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., 18 (1959), 87-136.
14) B. Morin, Formes canoniques des singularités d'une application différentiable, C. R.Acad. Sci. Paris, 260 (1965), 5662-5665, 6503-6506.
15) F. Ronga, Le calcul des classes duales singularités de Boardman d'ordre deux, Comment. Math. Helv., 47 (1972), 15-35.
16) F. Ronga, Le calcul de la classe de cohomologie entière duale a ∑^k, Lecture Notes in Math., 192, Springer, 1971, 313-315.
17) F. Sergeraert, Expression explicite de certains polynômes de Thom, C. R. Acad. Sci. Paris, 276 (1973), 1661-1663.
18) N. Steenrod, The Topology of Fibre Bundles, Princeton Univ. Press, Princeton, 1951.
19) R. Thom, Les singularités des applications différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87.

Right : [1] Y. Ando, On the elimination of certain Thom-Boardman singularities of order two, J. Math. Soc. Japan, 34 (1982), 241-268.
[2] J. M. Boardman, Singularities of differentiable maps, IHES Publ. Math., 33 (1967), 21-57.
[3] J. Damon, Thom polynomials for contact class singularities, thesis, Harvard Univ., 1972.
[4] A. A. du Plessis, Maps without certain singularities, Comment. Math. Helv., 50 (1975), 363-382.
[5] J. M. Eliasberg, On singularities of folding types, Math. USSR-Izv., 4 (1970), 1119-1134.
[6] J. M. Eliasberg, Surgery of singularities of smooth mappings, Math. USSR-Izv., 6 (1972), 1302-1326.
[7] T. Gaffney, The Thom polynomial of Σ^1,1,1,1, Singularities, Proc. Sympos. Pure Math., Vol. 40, Part I, Amer. Math. Soc., 1983, 399-408.
[8] M. L. Gromov, Stable mappings of foliations into manifolds, Math. USSR-Izv., 3 (1969), 671-694.
[9] M. W. Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc., 93 (1959), 242-276.
[10] A. Haefliger and A. Kosinski, Un théorème de Thom sur les singularités des applications différentiables, Séminaire H. Cartan E. N. S., 1956/57, Exposé N°8.
[11] A. Lascoux, Calcul de certains polynômes de Thom, C. R. Acad. Sci. Paris, 278 (1974), 889-891.
[12] H. I. Levin, Elimination of cusps, Topology, 3 (1965), 263-296.
[13] S. Lojasiewicz, Triangulation of semianalytic sets, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., 18 (1959), 87-136.
[14] B. Morin, Formes canoniques des singularités d'une application différentiable, C. R. Acad. Sci. Paris, 260 (1965), 5662-5665, 6503-6506.
[15] F. Ronga, Le calcul des classes duales singularités de Boardman d'ordre deux, Comment. Math. Helv., 47 (1972), 15-35.
[16] F. Ronga, Le calcul de la classe de cohomologie entière duale a Σ^k, Lecture Notes in Math., 192, Springer, 1971, 313-315.
[17] F. Sergeraert, Expression explicite de certains polynômes de Thom, C. R. Acad. Sci. Paris, 276 (1973), 1661-1663.
[18] N. Steenrod, The Topology of Fibre Bundles, Princeton Univ. Press, Princeton, 1951.
[19] R. Thom, Les singularités des applications différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87.

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