Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

The cohomology of principal bundles, homogeneous spaces, and two-stage Postnikov systems


Author: J. P. May
Journal: Bull. Amer. Math. Soc. 74 (1968), 334-339
MathSciNet review: 0239596
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Paul F. Baum, On the cohomology of homogeneous spaces, Topology 7 (1968), 15–38. MR 0219085 (36 #2168)
  • 2. Paul Baum and Larry Smith, The real cohomology of differentiable fibre bundles, Comment. Math. Helv. 42 (1967), 171–179. MR 0221522 (36 #4574)
  • 3. Armand Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math. (2) 57 (1953), 115–207 (French). MR 0051508 (14,490e)
  • 4. A. Borel, La cohomologie mod 2 de certains espaces homogènes, Comment. Math. Helv. 27 (1953), 165–197 (French). MR 0057541 (15,244h)
  • 5. Henri Cartan, La transgression dans un groupe de Lie et dans un espace fibré principal, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson et Cie., Paris, 1951, pp. 57–71 (French). MR 0042427 (13,107f)
  • 6. Samuel Eilenberg and J. C. Moore, Homological algebra and fibrations, Colloque de Topologie (Brussels, 1964) Librairie Universitaire, Louvain, 1964, pp. 81–90. MR 0218425 (36 #1511)
  • 7. G. Hirsch, Cohomologie d'un espace de Postnikov (cas non stable) (to appear).
  • 8. Leif Kristensen, On the cohomology of spaces with two non-vanishing homotopy groups, Math. Scand. 12 (1963), 83–105. MR 0159334 (28 #2551)
  • 9. W. S. Massey and F. P. Peterson, The 𝑚𝑜𝑑\2 cohomology structure of certain fibre spaces, Memoirs of the American Mathematical Society, No. 74, American Mathematical Society, Providence, R.I., 1967. MR 0226637 (37 #2226)
  • 10. J. Peter May, Matric Massey products, J. Algebra 12 (1969), 533–568. MR 0238929 (39 #289)
  • 11. J. P. May, The structure and applications of the Eilenberg-Moore spectral sequences (to appear).
  • 12. Larry Smith, The cohomology of stable two stage Postnikov systems, Illinois J. Math. 11 (1967), 310–329. MR 0208597 (34 #8406)


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1968-11947-0
PII: S 0002-9904(1968)11947-0