Homologie des espaces fibrés

Weishu Shih

Publications Mathématiques de l'IHÉS (1962)

  • Volume: 13, page 5-87
  • ISSN: 0073-8301

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Shih, Weishu. "Homologie des espaces fibrés." Publications Mathématiques de l'IHÉS 13 (1962): 5-87. <http://eudml.org/doc/103830>.

@article{Shih1962,
author = {Shih, Weishu},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {classifying space; spectral sequence; fibering; cohomology; homotopy equivalence of twisted tensor and Cartesian products; cap product; cup product},
language = {fre},
pages = {5-87},
publisher = {Institut des Hautes Études Scientifiques},
title = {Homologie des espaces fibrés},
url = {http://eudml.org/doc/103830},
volume = {13},
year = {1962},
}

TY - JOUR
AU - Shih, Weishu
TI - Homologie des espaces fibrés
JO - Publications Mathématiques de l'IHÉS
PY - 1962
PB - Institut des Hautes Études Scientifiques
VL - 13
SP - 5
EP - 87
LA - fre
KW - classifying space; spectral sequence; fibering; cohomology; homotopy equivalence of twisted tensor and Cartesian products; cap product; cup product
UR - http://eudml.org/doc/103830
ER -

References

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  1. [1] J. F. ADAMS, Proc. Cambridge Philo. Society, vol. 57, p. 189-199, 1961. Zbl0103.16001MR22 #12525
  2. [2] M. G. BARRATT, V. K. A. M. GUGENHEIM et J. C. MOORE, American Jour. of Math., 81, 1959, p. 639-657. Zbl0127.39002MR22 #1895
  3. [3] E. H. BROWN, Annals of Math., 69, 1959, p. 223-246. Zbl0199.58201MR21 #4423
  4. [4] H. CARTAN, Séminaire (1953-1954), 1956-1957. 
  5. [5] H. CARTAN et S. EILENBERG, Homological Algebra, Princeton, 1956. Zbl0075.24305MR17,1040e
  6. [6] A. DOLD, Annals of Math., 68, 1958, p. 54-80. Zbl0082.37701MR20 #3537
  7. [7] S. EILENBERG et S. MACLANE, Annals of Math. Soc., 58, 1953, p. 55-106, et 60, 1954, p. 49-139. Zbl0050.39304
  8. [8] S. EILENBERG et J. A. ZILBER, Annals of Math., 51, 1950, p. 499-513, et American Jour. of Math., 75, 1953, p. 200-204. Zbl0036.12601
  9. [9] E. FADELL et W. HUREWICZ, Annals of Math., 68, 1958, p. 314-346. Zbl0084.38501MR21 #2237a
  10. [10] R. GODEMENT, Théorie des faisceaux, Hermann, 1958. Zbl0080.16201
  11. [11] V. K. A. M. GUGENHEIM, Illinois J. Math., 4, 1960, p. 292-311. Zbl0117.40203MR22 #2990
  12. [12] A. HELLER, Illinois Jour. Math., 5, 1961, p. 412-420. Zbl0100.26502MR25 #1198
  13. [13] D. M. KAN et G. W. WHITEHEAD, Proc. of American Math. Soc., 12, 1961, p. 24-26. Zbl0109.15801MR23 #A647
  14. [14] J. LERAY, Jour. Math. Pures Appli., 29, 1950, p. 1-139. Zbl0038.36301MR12,272e
  15. [15] J. C. MOORE, Notes on homotopy Theory, Princeton, 1956 ; Symposium Inter. de Topologia Algebrica, 1958, p. 232-247 ; Séminaire Notes, Princeton, 1958. 
  16. [16] J.-P. SERRE, Annals of Math., 54, 1951, p. 425-504. Zbl0045.26003MR13,574g
  17. [17] N. STEENROD, Annals of Math., vol. 50, 1949, p. 954-988. Zbl0041.51803MR11,122a
  18. [18] E. THOMAS, Lectures of Dep. Math. University of California, June 1961. 

Citations in EuDML Documents

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  1. Jean-Paul Brasselet, Homologie des fibrés à singularités
  2. Henri Cartan, Classes d'applications d'un espace dans un groupe topologique, d'après Shih Weishu
  3. Julio Rubio, Francis Sergeraert, 3. Homologie effective des fibrés simpliciaux
  4. Marek Filakovský, Effective homology for homotopy colimit and cofibrant replacement
  5. Marek Filakovský, Effective chain complexes for twisted products
  6. G. Sharygin, Holonomy, twisting cochains and characteristic classes
  7. Nguyêndìnhngọc, Sur les espaces fibrés et les prolongements

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