La conjecture des immersions

Jean Lannes

Séminaire Bourbaki (1981-1982)

  • Volume: 24, page 331-346
  • ISSN: 0303-1179

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Lannes, Jean. "La conjecture des immersions." Séminaire Bourbaki 24 (1981-1982): 331-346. <http://eudml.org/doc/109996>.

@article{Lannes1981-1982,
author = {Lannes, Jean},
journal = {Séminaire Bourbaki},
keywords = {immersion; Brown-Gitler spectrum; dethomification; immersion conjecture; Thom space of the normal bundle; geometric dimension of vector bundles},
language = {fre},
pages = {331-346},
publisher = {Société Mathématique de France},
title = {La conjecture des immersions},
url = {http://eudml.org/doc/109996},
volume = {24},
year = {1981-1982},
}

TY - JOUR
AU - Lannes, Jean
TI - La conjecture des immersions
JO - Séminaire Bourbaki
PY - 1981-1982
PB - Société Mathématique de France
VL - 24
SP - 331
EP - 346
LA - fre
KW - immersion; Brown-Gitler spectrum; dethomification; immersion conjecture; Thom space of the normal bundle; geometric dimension of vector bundles
UR - http://eudml.org/doc/109996
ER -

References

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  1. [1] E.H. Brown et S. Gitler - A spectrum whose cohomology is a certain cyclic module over the Steenrod algebra, Topology12(1973), 283-295. Zbl0266.55012MR391071
  2. [2] E.H. Brown et F.P. Peterson - Relations among characteristic classes I, Topology3(1964), 39-52. Zbl0137.42705MR163326
  3. [3] E.H. Brown et F.P. Peterson - On immersions of n-manifolds, Adv. in Math.24(1977), 74-77. Zbl0343.57015MR436169
  4. [4] E.H. Brown et F.P. Peterson - On the stable decomposition of Ω2Sr+2, Trans. A.M.S.243(1978), 287-298. Zbl0404.55003
  5. [5] E.H. Brown et F.P. Peterson - A universal space for normal bundles of n-manifolds, Comment. Math. Helv.54(1979), 405-430. Zbl0415.55011MR543340
  6. [6] R.L. Brown - Immersions and embeddings up to cobordism, Canad. J. Math. Vol. 23 n° 6(1971), 1102-1115. Zbl0222.57018MR296958
  7. [7] R.L. Cohen - Representations of Brown-Gitler spectra, Proc. Top. Symp. at Siegen, 1979, SpringerLect. Notes788(1980), 399-417. Zbl0444.55005MR585672
  8. [8] R.L. Cohen - The immersion conjecture for differentiable manifolds, preprint. MR808220
  9. [9] A.H. Copeland Jr et M. Mahowald - The odd primary obstructions to finding a section in a Vn-bundle are zero, Proc. A.M.S.19(1968), 1270-1272. Zbl0174.26202MR234463
  10. [10] D.B. Fuks - Cohomologies of the group COS mod. 2, Functional Ana. Appl.4(1970), 143-151. Zbl0222.57031
  11. [11] M.W. Hirsch - Immersions of manifolds, Trans. A.M.S.93(1959), 242-276. Zbl0113.17202MR119214
  12. [12] M. Mahowald - A new infinite family in 2πS* , Topology16(1977), 249-256. Zbl0357.55020
  13. [13] W.S. Massey - On the Stiefel-Whitney classes of a manifold, Amer. J. Math.82(1960), 92-102. Zbl0089.39301MR111053
  14. [14] S. Smale - Classification of immersions of spheres in Euclidean space, Ann. of Math. vol. 69(1959), 327-344. Zbl0089.18201MR105117
  15. [15] R. Thom - Quelques propriétés globales des variétés différentiables, Comment. Helv.28(1954), 17-86. Zbl0057.15502MR61823
  16. [16] H. Whitney - The singularities of a smooth n-manifold in (2n-1)-space, Ann. Math.45(1944), 247-293. Zbl0063.08238MR10275

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