Une obstruction pour scinder une équivalence d’homotopie en dimension 3

Harrie Hendriks

Annales scientifiques de l'École Normale Supérieure (1976)

  • Volume: 9, Issue: 3, page 437-467
  • ISSN: 0012-9593

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Hendriks, Harrie. "Une obstruction pour scinder une équivalence d’homotopie en dimension $3$." Annales scientifiques de l'École Normale Supérieure 9.3 (1976): 437-467. <http://eudml.org/doc/81983>.

@article{Hendriks1976,
author = {Hendriks, Harrie},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {fre},
number = {3},
pages = {437-467},
publisher = {Elsevier},
title = {Une obstruction pour scinder une équivalence d’homotopie en dimension $3$},
url = {http://eudml.org/doc/81983},
volume = {9},
year = {1976},
}

TY - JOUR
AU - Hendriks, Harrie
TI - Une obstruction pour scinder une équivalence d’homotopie en dimension $3$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1976
PB - Elsevier
VL - 9
IS - 3
SP - 437
EP - 467
LA - fre
UR - http://eudml.org/doc/81983
ER -

References

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  1. [C 1] S. E. CAPPELL, Splitting obstructions for Hermitian forms and manifolds with Z2 ⊂ π1 (Bull. Amer. Math. Soc., vol. 79, 1973, p. 909-913). Zbl0272.57016MR49 #3987
  2. [C 2] S. E. CAPPELL, Unitary nilpotent groups and Hermitian K-theory, I (Bull. Amer. Math. Soc., vol. 80, 1974, p. 1117-1122). Zbl0322.57020MR50 #11274
  3. [C 3] S. E. CAPPELL, Manifolds with fundamental group a generalized free product, I (Bull. Amer. Math. Soc., vol. 80, 1974, p. 1193-1198). Zbl0341.57007MR50 #8562
  4. [E] D. B. A. EPSTEIN, Projective planes in 3-manifolds (Proc. London Math. Soc., (3), 11, 1961, p. 469-484). Zbl0111.18801MR27 #2968
  5. [H 1] H. HENDRIKS, Applications de la théorie d'obstruction en dimension 3 (C. R. Acad. Sc., Paris, t. 276, 1973, p. A 1101-1104.) Zbl0257.57001MR47 #7744
  6. [H 2] H. HENDRIKS, Applications de la théorie d'obstruction en dimension 3 (Thèse, Publ. math. d'Orsay, n° 133-7535, 1975). MR55 #6432
  7. [H 3] G. HIGMAN, The units of group-rings (Proc. London Math. Soc., vol. 46, 1940, p. 231-248). Zbl0025.24302MR2,5bJFM66.0104.04
  8. [H 4] M. W. HIRSCH, Immersions of manifolds (Trans. Amer. Soc., vol. 93, 1959, p. 242-276). Zbl0113.17202MR22 #9980
  9. [HL 1] H. HENDRIKS et F. LAUDENBACH, Scindement d'une équivalence d'homotopie en dimension 3 (C. R. Acad. Sc., Paris, t. 276, 1973, p. A 1275-1278). Zbl0255.57004MR47 #7745
  10. [HL 2] H. HENDRIKS et F. LAUDENBACH, Scindement d'une équivalence d'homotopie en dimension 3 (Ann. scient. Éc. Norm. Sup., t. 7, 1974, p. 203-218). Zbl0303.57003MR51 #1827
  11. [L] F. LAUDENBACH, Topologie de la dimension 3 : homotopie et isotopie (Astérisque, vol. 12, 1974). Zbl0293.57004MR50 #8527
  12. [S 1] J. STALLINGS, Whitehead torsion of free products (Ann. of Math., vol. 82, 1965, p. 354-363). Zbl0132.26804MR31 #3518
  13. [S 2] J. STALLINGS, Group theory and three-dimensional manifolds, Yale University Press, 1971. Zbl0241.57001
  14. [S 3] G. A. SWARUP, On a theorem of C. B. Thomas (J. London Math. Soc., vol. 8, 1974, p. 13-21). Zbl0281.57003MR49 #6225
  15. [S 4] G. A. SWARUP, Homotopy type of closed 3-manifolds, preprint, Tata Institute, 1974. 
  16. [S 5] G. A. SWARUP, On embedded spheres in 3-manifolds II, preprint, Tata Institute, 1974. 
  17. [T] C. B. THOMAS, The oriented homotopy type of compact 3-manifolds (Proc. London Math. Soc., vol. 19, 1969, p. 31-44). Zbl0167.21502MR40 #2088

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