Elimination of certain Thom-Boardman singularities of order two

Yoshifumi ANDO

doi:10.2969/jmsj/03420241

Yoshifumi ANDO

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1982 Volume 34 Issue 2 Pages 241-267

DOI https://doi.org/10.2969/jmsj/03420241

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Published: 1982 Received: November 12, 1979 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 a decomposition of Thom-Boardman singularities of order two, J. Math. Kyoto Univ., 18 (1978), 421-434.
2) J.M. Boardman, Singularities of differentiable maps, Publ. Math. Inst. HES, 33 (1967), 383-419.
3) A. Borel and A. Haefliger, La classe d'homologie fondamental d'un espace analytique, Bull. Soc. Math. France, 89 (1961), 461-513.
4) S.D. Feit, k-mersions of manifolds, Acta Math., 122 (1969), 173-195.
5) M. Golubitsky and V. Guillmin, Stable Mappings and their Singularities, Springer-Verlag, 1973.
6) J. Hudson, Piecewise Linear Topology, Benjamin, 1969.
7) S. Lojasiewicz, Triangulation of semianalytic sets, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., 18 (1959), 87-136.
8) J.N. Mather, Stability of C^∞ mappings IV: Classification of stable germs by R-algebras, Publ. Math. Inst. HES, 37 (1969), 223-248.
9) J.N. Mather, Stability of C^∞ mappings V: Transversality, Advances in Math., 4 (1970), 301-336.
10) J.N. Mather, Stability of C^∞ mappings VI: The nice dimensions, Proc. Singularities Symp., Lecture Notes, 192 (1971), 207-253, Springer-Verlag.
11) J.N. Mather, On Thom-Boardman singularities, Dynamical System, Academic Press, 1973, 233-248.
12) J.N. Mather, Stratification and mappings, Dynamical System, Academic Press, 1973, 195-232.
13) J. Milnor and J. Stasheff, Characteristic Classes, Princeton Univ. Press, Princeton, 1974.
14) A. du Plessis, Maps without certain singularities, Comment. Math. Helv., 50 (1975), 363-382,
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, Springer Lecture Notes, 192 (1971), 313-315.
17) N. Steenrod, The Topology of Fibre Bundles, Princeton Univ. Press, Princeton, 1951.
18) R. Thom, Les singularités des application différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87.

Right : [1] Y. Ando, On a decomposition of Thom-Boardman singularities of order two, J. Math. Kyoto Univ., 18 (1978), 421-434.
[2] J. M. Boardman, Singularities of differentiable maps, Publ. Math. Inst. HES, 33 (1967), 383-419.
[3] A. Borel and A. Haefliger, La classe d'homologie fondamental d'un espace analytique, Bull. Soc. Math. France, 89 (1961), 461-513.
[4] S. D. Feit, k-mersions of manifolds, Acta Math., 122 (1969), 173-195.
[5] M. Golubitsky and V. Guillmin, Stable Mappings and their Singularities, Springer-Verlag, 1973.
[6] J. Hudson, Piecewise Linear Topology, Benjamin, 1969.
[7] S. Lojasiewicz, Triangulation of semianalytic sets, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat., 18 (1959), 87-136.
[8] J. N. Mather, Stability of C^∞ mappings IV: Classification of stable germs by R-algebras, Publ. Math. Inst. HES, 37 (1969), 223-248.
[9] J. N. Mather, Stability of C^∞ mappings V: Transversality, Advances in Math., 4 (1970), 301-336.
[10] J. N. Mather, Stability of C^∞ mappings VI: The nice dimensions, Proc. Singularities Symp., Lecture Notes, 192 (1971), 207-253, Springer-Verlag.
[11] J. N. Mather, On Thom-Boardman singularities, Dynamical System, Academic Press, 1973, 233-248.
[12] J. N. Mather, Stratification and mappings, Dynamical System, Academic Press, 1973, 195-232.
[13] J. Milnor and J. Stasheff, Characteristic Classes, Princeton Univ. Press, Princeton, 1974.
[14] A. du Plessis, Maps without certain singularities, Comment. Math. Helv., 50 (1975), 363-382,
[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, Springer Lecture Notes, 192 (1971), 313-315.
[17] N. Steenrod, The Topology of Fibre Bundles, Princeton Univ. Press, Princeton, 1951.
[18] R. Thom, Les singularités des application différentiables, Ann. Inst. Fourier, 6 (1955-56), 43-87.

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