Suppression des singularités de codimension plus grande que 1 dans les familles de fonctions différentiables réelles

Jean Cerf

Séminaire Bourbaki (1983-1984)

  • Volume: 26, page 247-261
  • ISSN: 0303-1179

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Cerf, Jean. "Suppression des singularités de codimension plus grande que 1 dans les familles de fonctions différentiables réelles." Séminaire Bourbaki 26 (1983-1984): 247-261. <http://eudml.org/doc/110027>.

@article{Cerf1983-1984,
author = {Cerf, Jean},
journal = {Séminaire Bourbaki},
keywords = {pseudo-isotopy space of a manifold; higher Whitehead groups; algebraic K- theory of spaces; group of diffeomorphisms; suppression of singularities},
language = {fre},
pages = {247-261},
publisher = {Société Mathématique de France},
title = {Suppression des singularités de codimension plus grande que 1 dans les familles de fonctions différentiables réelles},
url = {http://eudml.org/doc/110027},
volume = {26},
year = {1983-1984},
}

TY - JOUR
AU - Cerf, Jean
TI - Suppression des singularités de codimension plus grande que 1 dans les familles de fonctions différentiables réelles
JO - Séminaire Bourbaki
PY - 1983-1984
PB - Société Mathématique de France
VL - 26
SP - 247
EP - 261
LA - fre
KW - pseudo-isotopy space of a manifold; higher Whitehead groups; algebraic K- theory of spaces; group of diffeomorphisms; suppression of singularities
UR - http://eudml.org/doc/110027
ER -

References

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  1. [1] J.M. Boardman, Singularities of differentiable maps, Publ. Math. IHES33 (1967), 21-57. Zbl0165.56803MR231390
  2. [2] J. Cerf, La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Publ. Math. IHES39 (1971), 6-173. Zbl0213.25202MR292089
  3. [3] J.A.M. Eliashberg, Surgery of singularities of smooth mappings, Math. USSR Izvestija, vol. 6 (1972), n° 6, 1302-1326. Zbl0273.57014
  4. [4] M.L. Gromov & J.A.M. Eliashberg, Removal of singularities of smooth mappings, Math. USSR Izvestija, vol. 5 (1971), n° 3, 615-639. Zbl0249.58005
  5. [5] K. Igusa, Higher singularities of smooth functions are unnecessary, Annals of Math.119 (1984), 1-58. Zbl0548.58005MR736559
  6. [6] K. Igusa, On the homotopy type of the space of Morse functions , Topology, vol. 23(1984), n° 2, 245-256. Zbl0595.57025MR744854
  7. [7] H.I. Levine, Singularities of differentiable mappings, Proceedings Liverpool I, Lecture notes in Math. n° 192, 1-89. Zbl0216.45803
  8. [8] J.-L. Loday, Homotopie des espaces de concordances (d' après F. Waldhausen)Séminaire Bourbaki n° 516 (1977-78), Lecture Notes in Math. n° 710. Zbl0443.57023
  9. [9] J. Mather, On Thom-Boardman singularities, in Dynamical Systems, Academic Press1972, 233-248. Zbl0292.58004MR353359
  10. [10] A. du Plessis, Maps without certain singularities, Comment. Math. Helv.50 (1975), 363-382. Zbl0313.58010MR397779
  11. [11] R. Thom, Ensembles et morphismes stratifiés, Bull. Amer. Math. Soc.75 (1969), 240-284. Zbl0197.20502MR239613

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