Skip to main content Accessibility help

A localization theorem in homological algebra

  • Haynes R. Miller (a1)

In (1), J. F. Adams showed that for p odd, the Adams E2-term for a sphere, , is zero for st ≤ (2p − 1)s − 1, while is the one-dimensional vector space generated by where corresponds to the Bockstein.

Hide All
(1)Adams, J. F.A finiteness theorem in homological algebra. Proc. Cambridge Philos. Soc. 57 (1961), 3136.
(2)Adams, J. F.A periodicity theorem in homological algebra. Proc. Cambridge Philos. Soc. 62 1966, 365377.
(3)Anderson, D. W. and Davis, D. W.A vanishing theorem in homological algebra. Comment Math. Helv. 48 (1973), 318327.
(4)Bousfield, A. K. and Curtis, E. B.A spectral sequence for the homotopy of nice spaces. Trans. Amer. Math. Soc. 151 (1970), 457479.
(5)Cartan, H.DGA-modules (Suite): Notion de construction, exp. 3, Seminaire H. Cartan, 1954/1955 Paris.
(6)Cartan, H. and Eilenbebg, S.Homological algebra (Princeton University Press, 1956).
(7)Eilenberg, S. and Moore, J. C.Homology and fibrations. I. Coalgebras, cotensor product and its derived functors. Comment Math. Helv. 40 (1966), 199236.
(8)Husemoller, D., Moore, J. C. and Stasheff, J.Differential homological algebra and homogeneous spaces. J. Pure and Appl. Alg. 5 (1974), 113185.
(9)Mahowald, M.The order of the image of the J-homomorphism. Bull. Amer. Math. Soc. 76 1970, 13101313.
(10)Massey, W. S. and Peterson, F. P.The cohomology structure of certain fibre spaces: I. Topology 4 (1965), 4765.
(11)Miller, H. R. and Ravenel, D. C.Morava stabilizer algebras and the localization of Novikov's E 2-term. Duke J. Math. 44 (1977), 433447.
(12)Miller, H. R., Ravenel, D. C. and Wilson, W. S.Periodic phenomena in the Adams-Novikov spectral sequence. Ann. of Math. 106 (1977), 469516.
(13)Milnor, J. and Moore, J. C.On the structure of Hopf algebras. Ann. of Math. 81 (1965), 211264.
(14)Morava, J. Extensions of cobordism comodules. (To appear.)
(15)Novikov, S. P.The methods of algebraic topology from the viewpoint of cobordism theory. Math. USSR Izvestija 1 (1967), 827913.
(16)Steenrod, N. E. and Epstein, D. B. A.Cohomology operations (Princeton University Press, 1962).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed